Paper Citation Record · LEDGER

Positive curvature conditions on contractible manifolds

As of 9 August 2026, this Paper Citation Record lists 70 of 70 outbound references and 1 inbound Pith citation observation for arXiv:2507.15719.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.15719 v1

Coverage vector

measured 70 of 70 reference resolution

Typed states for the displayed outbound observations.

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

measured 71 of 71 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

A source-named dated measurement, never combined with another source.

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

Reference resolution

70 of 70 outbound references displayed

verified exact3
verified fuzzy64
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.922809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.915229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.908017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.900463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.893244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.886045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.878941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.871648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.863981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.855995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.848746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.841271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.833838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.826141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: unresolved; no resolver link, observed 2026-08-06T15:43:00.080082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:43:00.283270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.818879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.811505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: unresolved; no resolver link, observed 2026-08-06T15:43:00.089898Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.804316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.796900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.789549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.781368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.774118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.766587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.759480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.752508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

This paper cites Partial differential relations.

Positive curvature conditions on contractible manifolds Partial differential relations

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.745287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.738335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.731063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.723725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.716279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

This paper cites 3 -Manifolds.

Positive curvature conditions on contractible manifolds 3 -Manifolds

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.707868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.700929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:43:00.693920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Resolution: verified exact; 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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+00:00.