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Paper Citation Record · LEDGER

Positive curvature conditions on contractible manifolds

As of 7 August 2026, this Paper Citation Record lists 70 of 70 outbound references and 1 inbound Pith citation observation for arXiv:2507.15719.

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pith.paper-citation-record.v1
2507.15719 v1

Coverage vector

measured 70 of 70 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T15:43:00.215965Z

measured 71 of 71 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T00:54:05.004156Z

measured 0 of 1 external citation measurements

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Source: pith, observed 2026-08-06T00:54:05.486958Z

Reference resolution

70 of 70 outbound references displayed

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Outbound references

Observation fd2886a3-44ac-4a2d-b550-782fd37db50a · outbound

This paper cites Complete 3-manifolds of positive scalar curvature with quadratic decay.

Positive curvature conditions on contractible manifolds Complete 3-manifolds of positive scalar curvature with quadratic decay

Reference 1

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation c5dc03ea-d2af-450f-8cff-bb473432ea41 · outbound

This paper cites Boundary conditions for scalar curvature.

Positive curvature conditions on contractible manifolds Boundary conditions for scalar curvature

Reference 2

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Observation c8f9a4ab-1a1f-49cc-a051-c958c2c904b4 · outbound

This paper cites Ricci flow on open 3-manifolds and positive scalar curvature.

Positive curvature conditions on contractible manifolds Ricci flow on open 3-manifolds and positive scalar curvature

Reference 3

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Observation 3931e92d-8976-4307-8650-193cc5b977fa · outbound

This paper cites Deform- ing 3-manifolds of bounded geometry and uniformly positive scalar curvature.

Positive curvature conditions on contractible manifolds Deform- ing 3-manifolds of bounded geometry and uniformly positive scalar curvature

Reference 4

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Observation 29bec0ea-7139-4b77-b00c-a0e35fb9b819 · outbound

This paper cites Ricci flow and the sphere theorem.

Positive curvature conditions on contractible manifolds Ricci flow and the sphere theorem

Reference 5

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source=pdf_text observed=2026-08-06T15:43:00.054880Z digest=sha256:96c458f5d61ef00eb5fd78eb52c852141c3fafd677571e619d59f535bc5434f0

Observation bb27f736-e784-4cd5-8bea-438af578a735 · outbound

This paper cites Ricci flow with surgery on manifolds with positive isotropic curva- ture.

Positive curvature conditions on contractible manifolds Ricci flow with surgery on manifolds with positive isotropic curva- ture

Reference 6

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Observation 2e377835-fef4-4491-a278-f5645d6d7cbb · outbound

This paper cites Quasi-isometries and ends of groups.

Positive curvature conditions on contractible manifolds Quasi-isometries and ends of groups

Reference 7

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source=pdf_text observed=2026-08-06T15:43:00.060186Z digest=sha256:2c7604d10d253116b2bd1d5c80ce028b379d1cabee361ae813b64f1a7750813f

Observation 4a49c590-d6e0-491d-bde4-b7ab6990d482 · outbound

This paper cites Metrics of positive Ricci curvature on the connected sums of prod- ucts with arbitrarily many spheres.

Positive curvature conditions on contractible manifolds Metrics of positive Ricci curvature on the connected sums of prod- ucts with arbitrarily many spheres

Reference 8

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Observation 0674b7ac-610b-416e-8fb0-b119b2f469d2 · outbound

This paper cites Ricci-positive metrics on connected sums of projective spaces.

Positive curvature conditions on contractible manifolds Ricci-positive metrics on connected sums of projective spaces

Reference 9

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source=pdf_text observed=2026-08-06T15:43:00.065039Z digest=sha256:26637e92e60fbab228b49da768a1106bbae4684e0b4220df8d1282f97059d487

Observation f144961c-475c-4b92-90d7-b4f27fe092f0 · outbound

This paper cites Constrained deformations of positive scalar cur- vature metrics.

Positive curvature conditions on contractible manifolds Constrained deformations of positive scalar cur- vature metrics

Reference 10

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Observation 8434d539-594e-4b26-802f-3aafef5c9846 · outbound

This paper cites Constrained deformations of positive scalar cur- vature metrics, II.

Positive curvature conditions on contractible manifolds Constrained deformations of positive scalar cur- vature metrics, II

Reference 11

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Observation bff17a71-f75a-4195-8178-62315afab66f · outbound

This paper cites Taming 3-manifolds using scalar curvature.

Positive curvature conditions on contractible manifolds Taming 3-manifolds using scalar curvature

Reference 12

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Observation d23c5722-b4ab-4f65-9b30-f28bb8f5b1f1 · outbound

This paper cites On the structure of complete manifolds of nonneg- ative curvature.

Positive curvature conditions on contractible manifolds On the structure of complete manifolds of nonneg- ative curvature

Reference 13

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Observation bb9c5b76-4099-4781-b92d-7fbd9a49a56c · outbound

This paper cites Complete classification of com- pact four-manifolds with positive isotropic curvature.

Positive curvature conditions on contractible manifolds Complete classification of com- pact four-manifolds with positive isotropic curvature

Reference 14

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Observation 0ff52920-8f50-48c5-a5fb-d12aabaa6227 · outbound

This paper cites Positive scalar curvature metrics and aspherical summands.

Positive curvature conditions on contractible manifolds Positive scalar curvature metrics and aspherical summands

Reference 15

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Observation 9934a07e-177a-4466-9862-6bd18099ea84 · outbound

This paper cites 3-Manifolds with positive scalar curvature and bounded geometry.

Positive curvature conditions on contractible manifolds 3-Manifolds with positive scalar curvature and bounded geometry

Reference 16

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Observation 685f2d75-545b-486c-b6c7-c58728f766fc · outbound

This paper cites Generalized soap bubbles and the topology of manifolds with positive scalar curvature.

Positive curvature conditions on contractible manifolds Generalized soap bubbles and the topology of manifolds with positive scalar curvature

Reference 17

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Observation 4701420b-e08d-4af9-ae6a-ccf1c86aa58c · outbound

This paper cites Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions.

Positive curvature conditions on contractible manifolds Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions

Reference 18

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Observation 17c2e718-5fd7-4c8a-a533-253038267c4d · outbound

This paper cites Complete Riemannian 4-manifolds with uniformly positive scalar curvature.

Positive curvature conditions on contractible manifolds Complete Riemannian 4-manifolds with uniformly positive scalar curvature

Reference 19

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Unavailable: canonical work link unavailable.

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Observation b353431c-2c62-410b-acef-248b23543210 · outbound

This paper cites Positivity of curvature on manifolds with boundary.

Positive curvature conditions on contractible manifolds Positivity of curvature on manifolds with boundary

Reference 20

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Observation f9221392-c73c-4692-bcf7-3f969df48fea · outbound

This paper cites K¨ urzeste Wege und Totalkr¨ ummung auf Fl¨ achen.

Positive curvature conditions on contractible manifolds K¨ urzeste Wege und Totalkr¨ ummung auf Fl¨ achen

Reference 21

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Observation 4ca72a63-3e1c-4ddf-8362-3f6b85f1f67a · outbound

This paper cites Three-manifolds with bounded curvature and uniformly positive scalar curvature.

Positive curvature conditions on contractible manifolds Three-manifolds with bounded curvature and uniformly positive scalar curvature

Reference 22

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Observation 33db4a1f-1c5f-4196-8c67-28882e7b22f0 · outbound

This paper cites Compactness of the space of embedded min- imal surfaces with free boundary in three-manifolds with nonnegative Ricci curvature and convex boundary.

Positive curvature conditions on contractible manifolds Compactness of the space of embedded min- imal surfaces with free boundary in three-manifolds with nonnegative Ricci curvature and convex boundary

Reference 23

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Observation 57e45a98-9dc2-461a-9579-2918fb1aec60 · outbound

This paper cites The topology of four-dimensional manifolds.

Positive curvature conditions on contractible manifolds The topology of four-dimensional manifolds

Reference 24

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Observation c3b26e25-bce4-4f6d-85b8-016954b69e3e · outbound

This paper cites ¨Uber die Enden diskreter R¨ aume und Gruppen.

Positive curvature conditions on contractible manifolds ¨Uber die Enden diskreter R¨ aume und Gruppen

Reference 25

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Observation 8e902d22-556c-48e1-986e-d347c2f05a40 · outbound

This paper cites Foliations and the topology of 3-manifolds. III.

Positive curvature conditions on contractible manifolds Foliations and the topology of 3-manifolds. III

Reference 26

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Observation 16681eae-24a9-478c-9ed5-a3a92661de06 · outbound

This paper cites On complete open manifolds of positive curva- ture.

Positive curvature conditions on contractible manifolds On complete open manifolds of positive curva- ture

Reference 27

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Observation 8525e188-0c9d-45ab-b554-7e70393f7e14 · outbound

This paper cites Partial differential relations.

Positive curvature conditions on contractible manifolds Partial differential relations

Reference 28

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Observation df66dd27-6783-4405-be76-a8d90b4b722b · outbound

This paper cites The classification of simply connected manifolds of positive scalar curvature.

Positive curvature conditions on contractible manifolds The classification of simply connected manifolds of positive scalar curvature

Reference 29

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source=pdf_text observed=2026-08-06T15:43:00.114410Z digest=sha256:54bef90a62ea2379229f710e1f01970caeb61982edafbe671976a2e97f9b7359

Observation d70daed2-92f8-4461-987e-eda5eaad922e · outbound

This paper cites Four lectures on scalar curvature.

Positive curvature conditions on contractible manifolds Four lectures on scalar curvature

Reference 30

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source=pdf_text observed=2026-08-06T15:43:00.116827Z digest=sha256:35dbf3edb5d5c8261755587ea255b6fc39b1063eb5e6d4632a394bee7eb275c7

Observation e6bec9be-1072-4752-80cb-5ef375a89311 · outbound

This paper cites Four-manifolds with positive isotropic curvature.

Positive curvature conditions on contractible manifolds Four-manifolds with positive isotropic curvature

Reference 31

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Observation 28c609c2-82e8-4707-a62a-f809bce5992a · outbound

This paper cites Three-manifolds with positive Ricci curvature.

Positive curvature conditions on contractible manifolds Three-manifolds with positive Ricci curvature

Reference 32

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.121538Z digest=sha256:ee2f9145858aee56cb6de9536a1d36eaa0ddf2cb6a129b2a33c9f945191a9222

Observation dbf5c5bb-7a5f-429b-b47a-5b6796ea6af1 · outbound

This paper cites 3 -Manifolds.

Positive curvature conditions on contractible manifolds 3 -Manifolds

Reference 33

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Observation 454c9f19-1a35-476f-8add-f13260c567d2 · outbound

This paper cites Enden offener R¨ aume und unendliche diskontinuierliche Gruppen.

Positive curvature conditions on contractible manifolds Enden offener R¨ aume und unendliche diskontinuierliche Gruppen

Reference 34

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source=pdf_text observed=2026-08-06T15:43:00.126271Z digest=sha256:966308d2e0b6e28ce735da6dd76cd066fe44d4644dcd3b4b9fb02077f821f8f7

Observation 566504ec-c68c-45a4-a7ed-b9f3ba6698e3 · outbound

This paper cites Classification of compact manifolds with positive isotropic curvature.

Positive curvature conditions on contractible manifolds Classification of compact manifolds with positive isotropic curvature

Reference 35

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.128605Z digest=sha256:3858bf009603daedda03df5d361793098dd9ddcd75f0f458e9b02d5c1eec175c

Observation 4ceeb624-ea2a-4002-980f-a8e0d4741599 · outbound

This paper cites Compact manifolds of dimension $n\geq 12$ with positive isotropic curvature.

Positive curvature conditions on contractible manifolds Compact manifolds of dimension $n\geq 12$ with positive isotropic curvature

Reference 36

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local_arxiv, observed 2026-08-06T15:43:00.264719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.131375Z digest=sha256:5447c54f3baf2d0ab50c8c2a1a0f73924d51a2979ec503b1727349a8cf8bbbc8

Observation 1d235dfb-593a-4f6a-838d-3a5cf76d5bde · outbound

This paper cites On subharmonic functions and differential geometry in the large.

Positive curvature conditions on contractible manifolds On subharmonic functions and differential geometry in the large

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.686373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.134160Z digest=sha256:4d1d718eaf93086e4125a53b2c594b7aca913427a339718865d5fc77b927e940

Observation 80e8b7f3-90b1-4bfb-8cad-ab8f2c24ed6d · outbound

This paper cites Smooth homology spheres and their fundamental groups.

Positive curvature conditions on contractible manifolds Smooth homology spheres and their fundamental groups

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.679020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.137942Z digest=sha256:6e5b1f222b1ec9d08594d5b353e4db7d77e9ecffd2812b229a8b8a34abf6693b

Observation 97d990bb-3084-4c5a-97ae-c51211305851 · outbound

This paper cites Embedding and surrounding with positive mean curvature.

Positive curvature conditions on contractible manifolds Embedding and surrounding with positive mean curvature

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.671333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.140337Z digest=sha256:af239f24025aad4178525161420121dfbbb871d624c3b06139011f6578dea237

Observation 66c9a228-c9c5-4800-8104-ccd78eab549c · outbound

This paper cites Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature.

Positive curvature conditions on contractible manifolds Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.663641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.142636Z digest=sha256:0289c45f59f7ffaf7af0e147a0d8482a29ea929305baab33130ba9bbee40b684

Observation 2103141f-c6d4-4c07-a6c1-7f72f06cc78b · outbound

This paper cites Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes.

Positive curvature conditions on contractible manifolds Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.656215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.144947Z digest=sha256:9f9986f72b293649f154f13861b563072e4b033cccb0546d98cc82374f0dd2ab

Observation 3d3188fe-5725-4722-973f-696225f7f427 · outbound

This paper cites A note on curvature and fundamental group.

Positive curvature conditions on contractible manifolds A note on curvature and fundamental group

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.648749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.147373Z digest=sha256:91a7e8159f2038d9f0f21bfd47f75743517b2cb9a2cd46750b2cd59a125641a4

Observation 83e83dec-b9f8-421d-82a9-cd03200a00a1 · outbound

This paper cites Lectures on the h-cobordism theorem.

Positive curvature conditions on contractible manifolds Lectures on the h-cobordism theorem

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.640916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.149815Z digest=sha256:dc3c5152f45e2dfddcd32f10f82f08062f674a121b636822c6d421b72a6879db

Observation 4631eab9-ed9f-4016-8a17-fd8305c0bd58 · outbound

This paper cites Absolutely graded Floer homologies and intersec- tion forms for four-manifolds with boundary.

Positive curvature conditions on contractible manifolds Absolutely graded Floer homologies and intersec- tion forms for four-manifolds with boundary

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.633774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.152222Z digest=sha256:788741a62c13f4c0c2aaf88d1825908594b6659b815d7a4098561e2b38600125

Observation c58f6f84-b3cf-4dc0-8ae9-c1903c4d292a · outbound

This paper cites Construction of manifolds of positive Ricci curvature with big volume and large Betti numbers.

Positive curvature conditions on contractible manifolds Construction of manifolds of positive Ricci curvature with big volume and large Betti numbers

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.626531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.154665Z digest=sha256:77e11cebfe4862d843fdaa6e3979792a34994caba78a002b48c3033d57550141

Observation ade9629f-8aaf-4ef0-b2b1-faed67764358 · outbound

This paper cites Proof of the soul conjecture of Cheeger and Gromoll.

Positive curvature conditions on contractible manifolds Proof of the soul conjecture of Cheeger and Gromoll

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.619183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.156889Z digest=sha256:b4ef9c39ed574f1e1148d205fc72bf940f43d1e6935ab4fbfc4fd600b2319ccd

Observation 425af807-b469-4406-9b4d-822f89cb4817 · outbound

This paper cites Ricci flow with surgery on three-manifolds.

Positive curvature conditions on contractible manifolds Ricci flow with surgery on three-manifolds

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.611663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.159193Z digest=sha256:5130c49d26f58d1a0b3a2794b40744df5f910747aac1471700c7e733818f14f4

Observation 043cacdb-9ace-43aa-b1a5-e931d39f4231 · outbound

This paper cites Some results on nonnegatively curved manifolds.

Positive curvature conditions on contractible manifolds Some results on nonnegatively curved manifolds

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.604387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.161559Z digest=sha256:2761f604df670182c378e5cde75b574b689bf9a02c18e11bd965d20d7b0ac116

Observation 388d8bad-6e64-4ba1-9a9d-e19992f97784 · outbound

This paper cites Scalar and mean curvature comparison via µ-bubbles.

Positive curvature conditions on contractible manifolds Scalar and mean curvature comparison via µ-bubbles

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.596904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.163876Z digest=sha256:14cb32b00d16451cedf4532e20ec458e4d03454fc130207cb4c5ca4d1afb47ff

Observation 088d7c94-4e1e-4044-847e-9a277faf70d9 · outbound

This paper cites Manifolds of positive scalar curvature: a progress report.

Positive curvature conditions on contractible manifolds Manifolds of positive scalar curvature: a progress report

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.586073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.166202Z digest=sha256:8b49bbdfee245b58f4079bd9178e4e60a43e23419234681cf4a1d423f0e7ae3f

Observation 8b9b832c-3f1e-466d-9d5d-0addc7aa5637 · outbound

This paper cites Existence of incompressible minimal surfaces and the topology of three-dimensional manifolds with nonnegative scalar curvature.

Positive curvature conditions on contractible manifolds Existence of incompressible minimal surfaces and the topology of three-dimensional manifolds with nonnegative scalar curvature

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.578933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.168685Z digest=sha256:3a9ea9bf1f23832fc0774b1399ec17994b1e9ddd1e875081cbb9496e59f2a4c7

Observation 1a0cfc19-9b3b-4144-be0f-f096a573fff8 · outbound

This paper cites On the structure of manifolds with positive scalar curvature.

Positive curvature conditions on contractible manifolds On the structure of manifolds with positive scalar curvature

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.571422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.171165Z digest=sha256:860c30789ee54d760b6c6e80322608c87b807525a3b927bdabfe233778526369

Observation 2721a995-b55b-4555-9c71-3f7d0d80a5ae · outbound

This paper cites p-convex Riemannian manifolds.

Positive curvature conditions on contractible manifolds p-convex Riemannian manifolds

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.563724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.173588Z digest=sha256:b966446359f141f03ceed9fa6a49866c364408cf07aeafd488460b3d20e1bb34

Observation 53b6cbd9-a935-435d-8228-31392c0f625a · outbound

This paper cites Handlebodies and p-convexity.

Positive curvature conditions on contractible manifolds Handlebodies and p-convexity

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.556844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.176254Z digest=sha256:d6eb7c3f0629bf17b6432b780caeda3ac04b9023d022c62ba14b60ac903ba6ee

Observation fb7ca342-3e6e-4dd2-bb93-74c5ac074d8f · outbound

This paper cites Examples of manifolds of positive Ricci curvature.

Positive curvature conditions on contractible manifolds Examples of manifolds of positive Ricci curvature

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.549741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.178619Z digest=sha256:4bed0d3466f1f26d6012c7020aa61a882ffab6191b10172225cb3e16ff363b69

Observation 25500fb6-c103-4582-a65f-7d06860dedab · outbound

This paper cites Positive Ricci curvature on the connected sums of Sn × Sm.

Positive curvature conditions on contractible manifolds Positive Ricci curvature on the connected sums of Sn × Sm

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.542335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.180942Z digest=sha256:5bf2c815111fc9789d8d22d553ed17172a6bdca3b900dac45dac793fb69946f4

Observation 3d1624b7-4fa2-45eb-b3c4-cc8c1d97912e · outbound

This paper cites Homology spheres which are covered by spheres.

Positive curvature conditions on contractible manifolds Homology spheres which are covered by spheres

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.535328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.183378Z digest=sha256:287780e64e21834fe9acd397ca3e636c53204a179a6cf363415f1bc8b9323c3a

Observation 407dda1c-4c43-49f4-9edd-10ad5018c438 · outbound

This paper cites Generalized Poincar´ e’s conjecture in dimensions greater than four.

Positive curvature conditions on contractible manifolds Generalized Poincar´ e’s conjecture in dimensions greater than four

Reference 58

Resolution
verified exact
doi, observed 2026-08-06T15:43:00.244543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.185758Z digest=sha256:46d0b4a00e3666921ea8122b2ec28cb575fc7f75ea2755d459b8a8d16eade5b7

Observation 0418ebcc-5bfb-4706-a90d-27ef5dee59c5 · outbound

This paper cites On the structure of manifolds.

Positive curvature conditions on contractible manifolds On the structure of manifolds

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.528118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.188162Z digest=sha256:8708b5785c94b0f8d1414b26003a35cf0254db106b3018364059d36f9424d8d2

Observation ddfc1a36-a151-4f8e-8018-a3ce807673de · outbound

This paper cites The piecewise-linear structure of Euclidean space.

Positive curvature conditions on contractible manifolds The piecewise-linear structure of Euclidean space

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.520796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.190772Z digest=sha256:297b72d1ec9cb64f0eb541965d247e3e56a0d1dfdf6add214303f8ab80276e9e

Observation 9712deb2-e57f-408e-968c-107c3474a89a · outbound

This paper cites A volume invariant of coverings.

Positive curvature conditions on contractible manifolds A volume invariant of coverings

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.513377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.193167Z digest=sha256:7ef1eb22f53e8d6b0b7a30de0e95bf6e69d29d2946d43c5541311d028f7b55f9

Observation 4e7f31b9-b6e7-4121-9649-4ca3c9f4c094 · outbound

This paper cites Gauge theory on asymptotically periodic 4-manifolds.

Positive curvature conditions on contractible manifolds Gauge theory on asymptotically periodic 4-manifolds

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.506059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.195595Z digest=sha256:ad01b52ef8b410207aa4243c55932b8ad9149dbdf388c03320cc7b48773680fa

Observation 3422a19c-7f95-48db-91e7-3103052f4d03 · outbound

This paper cites Poincar´ e complexes. I.

Positive curvature conditions on contractible manifolds Poincar´ e complexes. I

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.498846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.198264Z digest=sha256:d40bdfd77ded7e780e734ae658113bb65942bf493c240e90e09ab4ca6c0aff54

Observation 499be0d0-7b2d-4d26-8a7c-dcbcd42f1480 · outbound

This paper cites Boundary convexity on manifolds with nonnegative Ricci curva- ture.

Positive curvature conditions on contractible manifolds Boundary convexity on manifolds with nonnegative Ricci curva- ture

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.491500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.200631Z digest=sha256:1c26fde899bceb28b23c98c7e212920d12df01ed2460249ecf6ca44e724e9143

Observation 8d9bb568-9d3b-4d63-9b47-3cd536084cce · outbound

This paper cites Contractible 3-manifolds and positive scalar curvature (I).

Positive curvature conditions on contractible manifolds Contractible 3-manifolds and positive scalar curvature (I)

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.483257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.202904Z digest=sha256:f35dacbb2950208093e362e46d56e2bc3fea6fd8c93484ed6ab095654b8418a1

Observation 064aeee7-c710-4363-ad47-cf7c84f69297 · outbound

This paper cites Contractible 3-manifolds and positive scalar curvature (II).

Positive curvature conditions on contractible manifolds Contractible 3-manifolds and positive scalar curvature (II)

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.475648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.205258Z digest=sha256:2760b93a1af2fdb7aa916464efbf29eebe71c2e92919be7844515022cdcdb961

Observation e1ca7d0d-d91e-46a5-aaad-1c3c323c1b23 · outbound

This paper cites Topology of $3$-manifolds with uniformly positive scalar curvature.

Positive curvature conditions on contractible manifolds Topology of $3$-manifolds with uniformly positive scalar curvature

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-06T15:43:00.207531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:43:00.207531Z digest=sha256:5a9877fed9a367c0791f3a3e8b47a375fe9180d1981d9fdf855822b4aa43e49f

Observation a3d7c571-29b5-4828-b9c8-d56bc446b2a9 · outbound

This paper cites Capillary surfaces in manifolds with nonnegative scalar curvature and strictly mean convex boundary.

Positive curvature conditions on contractible manifolds Capillary surfaces in manifolds with nonnegative scalar curvature and strictly mean convex boundary

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.467601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.211152Z digest=sha256:0ac4bc7ebb55cb94b07759f96d55e671e530c198e49b8bc0d9710d3a41157ec7

Observation 7823d212-6623-446e-8976-d8d4fad643f4 · outbound

This paper cites Problem section.

Positive curvature conditions on contractible manifolds Problem section

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.459755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.213678Z digest=sha256:e95297a8de2a90c3b784fec993de21c3575f632a64cbde5e88e93edcc110e4d5

Observation 6e22ffcc-256e-40c6-a315-ba87676cc1f6 · outbound

This paper cites Width estimate and doubly warped product.

Positive curvature conditions on contractible manifolds Width estimate and doubly warped product

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.452099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:43:00.215965Z digest=sha256:41824f74e686e0bbf20c837096888dd561c81b93558c1f0702ea9b77383f539c

Pith citing papers

Observation 635bd773-693e-4d60-a97c-daf08ad653dc · inbound

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay cites this paper.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Positive curvature conditions on contractible manifolds

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-06T00:54:05.572807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T00:54:05.004156Z digest=sha256:2b1ff61225a6acf417b7a7efc2524e7f01bf57c3fe3ba27a9b8c06c23b61a244