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Paper Citation Record · LEDGER

The Riemannian Quantitative Isoperimetric Inequality

As of 15 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:1908.00677.

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pith.paper-citation-record.v1
1908.00677 v1

Coverage vector

measured 46 of 46 reference resolution

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Reference resolution

46 of 46 outbound references displayed

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Outbound references

Observation d6f80ec4-6095-4c58-99f6-733395b291fb · outbound

This paper cites Acerbi, N.

The Riemannian Quantitative Isoperimetric Inequality Acerbi, N

Reference 1

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Observation d8de7bdf-2dc4-44a9-ad47-dd15456c5b01 · outbound

This paper cites Rates of asymptotic converge nce near isolated singu- larities of geometric extrema.

The Riemannian Quantitative Isoperimetric Inequality Rates of asymptotic converge nce near isolated singu- larities of geometric extrema

Reference 2

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Observation 1a87e857-1ad8-48fa-a3cf-6a9222abf55b · outbound

This paper cites Balogh and Alexandru Krist´ aly.

The Riemannian Quantitative Isoperimetric Inequality Balogh and Alexandru Krist´ aly

Reference 3

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Observation 68907242-0231-46a7-bf33-3277f4df534d · outbound

This paper cites A quan titative isoperimetric in- equality on the sphere.

The Riemannian Quantitative Isoperimetric Inequality A quan titative isoperimetric in- equality on the sphere

Reference 4

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Observation bb95eec2-56ed-4b75-bc63-6b66c6fc738f · outbound

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The Riemannian Quantitative Isoperimetric Inequality Unresolved cited work

Reference 5

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Observation 28cbb5bf-3a40-48d3-97e8-26ea1474018b · outbound

This paper cites Brasco, G.

The Riemannian Quantitative Isoperimetric Inequality Brasco, G

Reference 6

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Observation f81bac24-77b9-4db4-9b19-f59024576bc0 · outbound

This paper cites Carlen and Alessio Figalli.

The Riemannian Quantitative Isoperimetric Inequality Carlen and Alessio Figalli

Reference 7

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Observation a4c443a7-ceac-44fe-bcb6-52948b246abb · outbound

This paper cites A nonexistence theorem for stable cons tant mean curvature hy- persurfaces.

The Riemannian Quantitative Isoperimetric Inequality A nonexistence theorem for stable cons tant mean curvature hy- persurfaces

Reference 8

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Observation 3292f630-6523-4c67-958b-6c0cfcb5dad9 · outbound

This paper cites Uniqueness of asymptotically conical tangent flows.

The Riemannian Quantitative Isoperimetric Inequality Uniqueness of asymptotically conical tangent flows

Reference 9

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Observation 54446fc1-f39a-482f-aaf5-6460aff6f35b · outbound

This paper cites Inequalities of Riesz-Sobolev type for compact connected Abelian groups.

The Riemannian Quantitative Isoperimetric Inequality Inequalities of Riesz-Sobolev type for compact connected Abelian groups

Reference 10

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Observation 3f2a17f7-52a3-4145-a8ff-215559c8e534 · outbound

This paper cites Cianchi, N.

The Riemannian Quantitative Isoperimetric Inequality Cianchi, N

Reference 11

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Observation 18b575fc-d1d3-46f2-a138-5ed52a7172de · outbound

This paper cites A selection pri nciple for the sharp quanti- tative isoperimetric inequality.

The Riemannian Quantitative Isoperimetric Inequality A selection pri nciple for the sharp quanti- tative isoperimetric inequality

Reference 12

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Observation 15c5d3d6-30ff-4acb-9fe1-63f27c661f95 · outbound

This paper cites Best constants for the isoperimetric in- equality in quantitative form.

The Riemannian Quantitative Isoperimetric Inequality Best constants for the isoperimetric in- equality in quantitative form

Reference 13

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Observation 4e0bfa42-4c7f-4621-bd5d-5e61cd84d228 · outbound

This paper cites Minicozzi, II.

The Riemannian Quantitative Isoperimetric Inequality Minicozzi, II

Reference 14

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Observation 2a265197-0e05-471a-8483-fe8e89458898 · outbound

This paper cites O n the as- ymptotic behavior of the solutions to parabolic variationa l inequalities.

The Riemannian Quantitative Isoperimetric Inequality O n the as- ymptotic behavior of the solutions to parabolic variationa l inequalities

Reference 15

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Observation 749ee48e-bb3a-4bbd-8c5c-f903e732b278 · outbound

This paper cites Unique isoperimetri c foliations of asymptotically flat manifolds in all dimensions.

The Riemannian Quantitative Isoperimetric Inequality Unique isoperimetri c foliations of asymptotically flat manifolds in all dimensions

Reference 16

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This paper cites (Log-)epiperimetric inequal- ity and regularity over smooth cones for almost area-minimi zing currents.

The Riemannian Quantitative Isoperimetric Inequality (Log-)epiperimetric inequal- ity and regularity over smooth cones for almost area-minimi zing currents

Reference 17

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Observation 272567f3-5fd1-49fb-9642-a167fa39e8df · outbound

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The Riemannian Quantitative Isoperimetric Inequality Unresolved cited work

Reference 18

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The Riemannian Quantitative Isoperimetric Inequality Unresolved cited work

Reference 19

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Observation bcf3e1ec-ef0b-4a02-939e-d49a78bbb4ed · outbound

This paper cites Figalli, F.

The Riemannian Quantitative Isoperimetric Inequality Figalli, F

Reference 20

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Observation 65ef5460-41ed-4e87-a883-c7cff1102809 · outbound

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The Riemannian Quantitative Isoperimetric Inequality Quantitative stabi lity for the Brunn-Minkowski inequality

Reference 21

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Observation 01d506cf-6681-4370-b34f-1c404f8119e7 · outbound

This paper cites Fischer-Colbrie.

The Riemannian Quantitative Isoperimetric Inequality Fischer-Colbrie

Reference 22

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Observation 94f5bb5e-cf32-42ab-9fa1-b2fd9bb5e656 · outbound

This paper cites Stability in the isoperimetric problem f or convex or nearly spherical domains in Rn.

The Riemannian Quantitative Isoperimetric Inequality Stability in the isoperimetric problem f or convex or nearly spherical domains in Rn

Reference 23

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Observation 7ef9d7d4-40b3-4a69-909d-aa4d921da82c · outbound

This paper cites Fusco, F.

The Riemannian Quantitative Isoperimetric Inequality Fusco, F

Reference 24

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The Riemannian Quantitative Isoperimetric Inequality The quantitative isoperimetric inequality and related topics.Bull

Reference 25

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Observation d6d7c3ca-a310-40d5-b031-bdf208409a34 · outbound

This paper cites A strong form of the quantit ative isoperimetric inequal- ity.

The Riemannian Quantitative Isoperimetric Inequality A strong form of the quantit ative isoperimetric inequal- ity

Reference 26

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The Riemannian Quantitative Isoperimetric Inequality Unresolved cited work

Reference 27

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This paper cites Extremal functions for M orrey’s inequality.

The Riemannian Quantitative Isoperimetric Inequality Extremal functions for M orrey’s inequality

Reference 28

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Observation f8971891-55a0-4541-9503-863ea20e7e18 · outbound

This paper cites Quantitative mini mality of strictly stable extremal submanifolds in a flat neighbourhood.

The Riemannian Quantitative Isoperimetric Inequality Quantitative mini mality of strictly stable extremal submanifolds in a flat neighbourhood

Reference 29

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This paper cites Ensembles semi-analytiques.

The Riemannian Quantitative Isoperimetric Inequality Ensembles semi-analytiques

Reference 30

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Observation 73282854-05ce-4c74-b341-61f506282756 · outbound

This paper cites Sets of finite perimeter and geometric variational problems , volume 135 of Cambridge Studies in Advanced Mathematics.

The Riemannian Quantitative Isoperimetric Inequality Sets of finite perimeter and geometric variational problems , volume 135 of Cambridge Studies in Advanced Mathematics

Reference 31

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Observation b0cfb2f3-2f3c-4541-aaf2-d679c1be6f81 · outbound

This paper cites Geometric measure theory.

The Riemannian Quantitative Isoperimetric Inequality Geometric measure theory

Reference 32

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Observation 179687d4-950d-4b22-8cc7-b116e9885a15 · outbound

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The Riemannian Quantitative Isoperimetric Inequality Unresolved cited work

Reference 33

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Observation 0d8c541a-59c9-4f96-bb4c-9ca6c3dc7f8b · outbound

This paper cites Stable constant-mean-cu rvature hypersurfaces are area minimizing in small L1 neighborhoods.

The Riemannian Quantitative Isoperimetric Inequality Stable constant-mean-cu rvature hypersurfaces are area minimizing in small L1 neighborhoods

Reference 34

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Observation a04bcb54-405f-4b4e-a449-96da12688cd0 · outbound

This paper cites A note on strong-form stability for the sobolev inequality.

The Riemannian Quantitative Isoperimetric Inequality A note on strong-form stability for the sobolev inequality

Reference 35

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Observation f8d117b9-2ee0-4126-833f-05748905467b · outbound

This paper cites The isoperimetric inequality.

The Riemannian Quantitative Isoperimetric Inequality The isoperimetric inequality

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:48:13.734858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:48:13.475335Z digest=sha256:9d8e2198199239419c84a2f56dc2c5bf219742b02c13c583baeecfebb7cf49d5

Observation 51cc0bca-8efd-45e5-9677-82688c48a900 · outbound

This paper cites an unresolved cited work.

The Riemannian Quantitative Isoperimetric Inequality Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:48:13.720177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:48:13.480363Z digest=sha256:903873a3d16da635f52ae8dbd0eb17e0b41747723237a06298d4c8ac8b77fec1

Observation 47964564-bee4-41b5-bdbd-1e618be0829c · outbound

This paper cites an unresolved cited work.

The Riemannian Quantitative Isoperimetric Inequality Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:48:13.705749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:48:13.484950Z digest=sha256:cff68605a1e2cf2eed2e3af36085a25b4532dc93495fc9605c6a20c1ce3760bc

Observation 5832c3cc-9bd7-4a9e-b419-9c93c1f3fff7 · outbound

This paper cites Asymptotics for a class of nonlinear evolut ion equations, with applica- tions to geometric problems.

The Riemannian Quantitative Isoperimetric Inequality Asymptotics for a class of nonlinear evolut ion equations, with applica- tions to geometric problems

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:48:13.690539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:48:13.489619Z digest=sha256:7df48a285846ef48d607e5b9c524ca17aa41e8e10b55519ca76c303c86087454

Observation ead4e396-0f52-475c-9f0f-d65c849995b3 · outbound

This paper cites an unresolved cited work.

The Riemannian Quantitative Isoperimetric Inequality Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:48:13.675243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:48:13.494225Z digest=sha256:f66b58054ee3dca0367b78df74b933f6e5f7ce7710f9d53fb9d5de72b77f9f00

Observation 49d6c325-ffe4-4049-b727-474fed103a23 · outbound

This paper cites On stable constant mean curvature surface s in S2 × R and H2 × R.

The Riemannian Quantitative Isoperimetric Inequality On stable constant mean curvature surface s in S2 × R and H2 × R

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:48:13.660059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:48:13.498838Z digest=sha256:366f5998aedac4548cd5a2aad128a268218dbd2bb4db1895c7ab1e9e41f6fd4d

Observation 40052213-4dcd-4f04-9133-d1195d2fe72f · outbound

This paper cites Regularity Results for Almost Minimal Oriented Hypersurfa ces in Rn.

The Riemannian Quantitative Isoperimetric Inequality Regularity Results for Almost Minimal Oriented Hypersurfa ces in Rn

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:48:13.643665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:48:13.503367Z digest=sha256:42cae585a1fd29a897106b9f5c6dcfe62de4d8eaf9b9eaaff96f69ff5d8244f7

Observation f4f64be0-7b3c-4f13-86fe-912d6e5d716f · outbound

This paper cites Rigidity in the harmonic map heat fl ow.

The Riemannian Quantitative Isoperimetric Inequality Rigidity in the harmonic map heat fl ow

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:48:13.627809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:48:13.507758Z digest=sha256:056968fb003749dd87346460e279cf6048a110366aaa9420c660ca3600637a1a

Observation 827994d9-7b4d-4ea5-8f2d-4b379bced0d7 · outbound

This paper cites The space of m-dimensional surfaces that are stationary for a parametric elliptic functional.

The Riemannian Quantitative Isoperimetric Inequality The space of m-dimensional surfaces that are stationary for a parametric elliptic functional

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:48:13.612393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:48:13.512172Z digest=sha256:925d167495229dbbd3633fe7e7b9bc1f7b0a88441f00dfef5be88c819a85fea3

Observation bcf8b2fa-7048-46a2-9bd3-cc0443b523b3 · outbound

This paper cites The space of minimal submanifolds for vary ing Riemannian metrics.

The Riemannian Quantitative Isoperimetric Inequality The space of minimal submanifolds for vary ing Riemannian metrics

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:48:13.596359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:48:13.516722Z digest=sha256:b9010197d6356a164597a275204a2e8fc9f8880d944d4680c5711d112fb94aec

Observation 6be874a3-ce05-4ace-b78a-20ddef28832f · outbound

This paper cites A strong minimax property of nondegenerat e minimal submanifolds.

The Riemannian Quantitative Isoperimetric Inequality A strong minimax property of nondegenerat e minimal submanifolds

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:48:13.580986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:48:13.520959Z digest=sha256:6db38cdd4e66a975c0d6b71bcce943fd6102129bf4dd4be45dbabb92302a75c8

Pith citing papers

No inbound Pith citation observations are available.