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Paper Citation Record · LEDGER

Mean curvature and sharp Willmore inequalities in metric spaces

As of 9 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2607.27012.

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

pith.paper-citation-record.v1
2607.27012 v1

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measured 41 of 41 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-30T14:07:06.398526Z

measured 41 of 41 standing notices

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41 of 41 outbound references displayed

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Outbound references

Observation 779a7fcb-0bce-43e0-b093-6d6f315e3121 · outbound

This paper cites Agostiniani, M.

Mean curvature and sharp Willmore inequalities in metric spaces Agostiniani, M

Reference 1

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source=arxiv_source observed=2026-07-30T14:07:06.275869Z digest=sha256:4d73a0649f656f1d918194b841e0d1b62ca5ed42f29d1de92dd7c50796a2f0e8

Observation a69dbc4f-2698-47a5-a9c7-5bbbc91985a0 · outbound

This paper cites Agostiniani and L.

Mean curvature and sharp Willmore inequalities in metric spaces Agostiniani and L

Reference 2

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source=arxiv_source observed=2026-07-30T14:07:06.279210Z digest=sha256:a10f26ad3031f81570f103bb4fb336cce4e6ef4d967dd60189929bc3803f7f8a

Observation b030bc91-61ec-414e-9b5e-c83febe362c2 · outbound

This paper cites Ambrosio , Some fine properties of sets of finite perimeter in A hlfors regular metric measure spaces , Adv.

Mean curvature and sharp Willmore inequalities in metric spaces Ambrosio , Some fine properties of sets of finite perimeter in A hlfors regular metric measure spaces , Adv

Reference 3

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source=arxiv_source observed=2026-07-30T14:07:06.283675Z digest=sha256:5b05686ad506b5e741d2f7ff8b4c480c13283c950b6b330dacc597531ddf23d7

Observation a38b5c21-4cec-4340-a164-461e8e0c917d · outbound

This paper cites Ambrosio and S.

Mean curvature and sharp Willmore inequalities in metric spaces Ambrosio and S

Reference 4

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source=arxiv_source observed=2026-07-30T14:07:06.286971Z digest=sha256:c3de319b32391b26ed14ed2243b73d454ac372ad6df159ab84368971c3de0a01

Observation 58a61c72-693b-436a-8e50-379418e6fe98 · outbound

This paper cites Ambrosio, N.

Mean curvature and sharp Willmore inequalities in metric spaces Ambrosio, N

Reference 5

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Observation 0aae5867-4b16-4edb-86d8-364c22a785a2 · outbound

This paper cites Ambrosio and S.

Mean curvature and sharp Willmore inequalities in metric spaces Ambrosio and S

Reference 6

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source=arxiv_source observed=2026-07-30T14:07:06.292853Z digest=sha256:53a9c51249f388ec7bb12b6c252ccf5aafe9f0cf519338a75fdc36ccddcc80aa

Observation f06cd841-de2b-465e-995b-7cd58ed712b4 · outbound

This paper cites Ambrosio and S.

Mean curvature and sharp Willmore inequalities in metric spaces Ambrosio and S

Reference 7

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Observation e9187254-7eb0-4d08-87fc-03b5be491a05 · outbound

This paper cites Antonelli, E.

Mean curvature and sharp Willmore inequalities in metric spaces Antonelli, E

Reference 8

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source=arxiv_source observed=2026-07-30T14:07:06.298874Z digest=sha256:e7a61a8628b0853fcfc5aeb32bae3c353d709cd3851e1cae7c4ca4c9bbded1ed

Observation a952f0c7-f8f9-4cd6-b11c-380d3b083978 · outbound

This paper cites Benatti, M.

Mean curvature and sharp Willmore inequalities in metric spaces Benatti, M

Reference 9

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source=arxiv_source observed=2026-07-30T14:07:06.301377Z digest=sha256:063f6cd9f00d73919e72bb09a912ce35645852082df9d2a8f5820b5078af835d

Observation 03371fe3-3f61-4409-8a8e-431c77647c65 · outbound

This paper cites Benatti, A.

Mean curvature and sharp Willmore inequalities in metric spaces Benatti, A

Reference 10

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source=arxiv_source observed=2026-07-30T14:07:06.304038Z digest=sha256:649a18a8baed5266ed1989d01adddce1c8c72174125e54e8af3839e7d3c22d3d

Observation da3f14c9-09b9-492c-888a-a462c42c7c87 · outbound

This paper cites o rn and J. Bj \.

Mean curvature and sharp Willmore inequalities in metric spaces o rn and J. Bj \

Reference 11

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source=arxiv_source observed=2026-07-30T14:07:06.306912Z digest=sha256:8d54b277a5f7ef4aa28f0a4b785c6853cfbc80003b839c69deefd7ca9d05762e

Observation e46f0a34-29a2-49d2-998f-2c23aa8ea5ba · outbound

This paper cites Bru \`e , E.

Mean curvature and sharp Willmore inequalities in metric spaces Bru \`e , E

Reference 12

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Observation c33a2eb2-73ad-4847-aba5-a3d06ad1d609 · outbound

This paper cites Burtscher, C.

Mean curvature and sharp Willmore inequalities in metric spaces Burtscher, C

Reference 13

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source=arxiv_source observed=2026-07-30T14:07:06.313211Z digest=sha256:3d8cc9d7f1bddff6ca72cd135269f0eaf1e64dde4467d9e7e7ae51505ec61408

Observation ff351249-3449-45d5-a3a3-8da80d4692b5 · outbound

This paper cites Cavalletti and A.

Mean curvature and sharp Willmore inequalities in metric spaces Cavalletti and A

Reference 14

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source=arxiv_source observed=2026-07-30T14:07:06.315972Z digest=sha256:667f3d47d2e1e2b399530c76af1bca5f1361eaf3ba70686b348c71a6a7d43050

Observation a7aff3c0-d109-45f5-8f5b-738bfe14fc4c · outbound

This paper cites an unresolved cited work.

Mean curvature and sharp Willmore inequalities in metric spaces Unresolved cited work

Reference 15

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Observation 62c765f0-aaa8-4755-bdec-eb062de28f23 · outbound

This paper cites Debin, N.

Mean curvature and sharp Willmore inequalities in metric spaces Debin, N

Reference 16

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Observation 21f15a61-7926-4dd2-949a-5deb1a71490c · outbound

This paper cites Fogagnolo, L.

Mean curvature and sharp Willmore inequalities in metric spaces Fogagnolo, L

Reference 17

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source=arxiv_source observed=2026-07-30T14:07:06.324241Z digest=sha256:376be78065cf09f2e4c3896b6d66f778d46c84c54eb50e0b6512fc5b08874a83

Observation 9dbd9e2b-8cae-48ce-bff2-d035242128ed · outbound

This paper cites Gigli , On the differential structure of metric measure spaces and applications , Mem.

Mean curvature and sharp Willmore inequalities in metric spaces Gigli , On the differential structure of metric measure spaces and applications , Mem

Reference 18

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Observation b74861d2-a8eb-436f-bfd4-9f6318d26ee0 · outbound

This paper cites an unresolved cited work.

Mean curvature and sharp Willmore inequalities in metric spaces Unresolved cited work

Reference 19

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Observation 12c6d4de-9bfb-49f9-bdb1-141a7bd1a0ab · outbound

This paper cites De Giorgi and Gromov working together.

Mean curvature and sharp Willmore inequalities in metric spaces De Giorgi and Gromov working together

Reference 20

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Observation 031dd043-a987-43b0-895f-86937327af47 · outbound

This paper cites Gigli, A.

Mean curvature and sharp Willmore inequalities in metric spaces Gigli, A

Reference 21

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Observation 61b924d4-c91f-4cf4-9119-ccfc427e7c65 · outbound

This paper cites Gigli and E.

Mean curvature and sharp Willmore inequalities in metric spaces Gigli and E

Reference 22

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Observation 4cfcf7ed-082f-4f9c-84e3-e623773dcb6d · outbound

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Mean curvature and sharp Willmore inequalities in metric spaces Unresolved cited work

Reference 23

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Observation a1d119d1-8606-489d-a156-438a9d855ac8 · outbound

This paper cites Gigli and I.

Mean curvature and sharp Willmore inequalities in metric spaces Gigli and I

Reference 24

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source=arxiv_source observed=2026-07-30T14:07:06.345147Z digest=sha256:a5b07b07204f4e3a1a485de412dbdd748e4671dcd7ac8206e9dd615eaf09a0b2

Observation 4008070a-556c-4086-ae3a-2c925567a045 · outbound

This paper cites Heinonen, P.

Mean curvature and sharp Willmore inequalities in metric spaces Heinonen, P

Reference 25

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source=arxiv_source observed=2026-07-30T14:07:06.348613Z digest=sha256:7c31d95e381b1599e66e22fa7c6b97b06fddd6092921582a221dbb8666f44067

Observation f0c18dda-929c-4de5-a37b-5a53558673b5 · outbound

This paper cites Jiang , Cheeger-harmonic functions in metric measure spaces revisited , J.

Mean curvature and sharp Willmore inequalities in metric spaces Jiang , Cheeger-harmonic functions in metric measure spaces revisited , J

Reference 26

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Observation 3d090f47-0b83-4443-932f-7e1b81f97e55 · outbound

This paper cites Ketterer , The H eintze- K archer inequality for metric measure spaces , Proc.

Mean curvature and sharp Willmore inequalities in metric spaces Ketterer , The H eintze- K archer inequality for metric measure spaces , Proc

Reference 27

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Observation 3e205e14-1de9-46bb-85b9-7180c318e57e · outbound

This paper cites Lahti, L.

Mean curvature and sharp Willmore inequalities in metric spaces Lahti, L

Reference 28

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Observation cd2d80b5-c21e-4019-9573-788b8708d2bd · outbound

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Mean curvature and sharp Willmore inequalities in metric spaces Unresolved cited work

Reference 29

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Observation 612763eb-7e67-4da1-a3fd-5f518e634e4c · outbound

This paper cites Masnou and G.

Mean curvature and sharp Willmore inequalities in metric spaces Masnou and G

Reference 30

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source=arxiv_source observed=2026-07-30T14:07:06.363865Z digest=sha256:65492e632cc878f1fb394b3b6ad733995c4d0f3b31422e9037d2f314cca2fefe

Observation dc7165aa-2ccc-4363-94b0-ffb2ce580a82 · outbound

This paper cites Masnou and G.

Mean curvature and sharp Willmore inequalities in metric spaces Masnou and G

Reference 31

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source=arxiv_source observed=2026-07-30T14:07:06.366625Z digest=sha256:8c0189008fe1f61d8bfcc6a5cc6eb7b2f98713f519a831ed68874eb54b4fb9e2

Observation 9cb25533-ba65-4f86-94b7-53c5f9c2cd8e · outbound

This paper cites Miranda , Functions of bounded variation on ``good'' metric spaces , Journal de Math\' e matiques Pures et Appliqu\' e es, 82 (2003), pp.

Mean curvature and sharp Willmore inequalities in metric spaces Miranda , Functions of bounded variation on ``good'' metric spaces , Journal de Math\' e matiques Pures et Appliqu\' e es, 82 (2003), pp

Reference 32

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source=arxiv_source observed=2026-07-30T14:07:06.369342Z digest=sha256:cb975fb8e7b2441ba152b0128aa1131d035decf7c0e96233021f61a593ab6660

Observation 48c33975-f9b4-437d-8a48-1b3ed4c7314f · outbound

This paper cites Mondino and D.

Mean curvature and sharp Willmore inequalities in metric spaces Mondino and D

Reference 33

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source=arxiv_source observed=2026-07-30T14:07:06.372023Z digest=sha256:ea8c1733962ff280cbf7c7b5f78d4e6b0f6375ecf597d7804c71b75e56488320

Observation b6156414-f5ca-403f-b155-9e517de53102 · outbound

This paper cites Mondino and D.

Mean curvature and sharp Willmore inequalities in metric spaces Mondino and D

Reference 34

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source=arxiv_source observed=2026-07-30T14:07:06.374565Z digest=sha256:e69a095870ace78068f61c35dfd9ca591eb2ceeb4031c8cf7d64be66c9e23bc3

Observation 26d2f744-f939-4e72-bf9c-9dd9bbb5d389 · outbound

This paper cites Nobili and I.

Mean curvature and sharp Willmore inequalities in metric spaces Nobili and I

Reference 35

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source=arxiv_source observed=2026-07-30T14:07:06.378791Z digest=sha256:d996c84a0a2d65c328900a973c04060dbbdd1d7cb6a204e04bf95582e8a509f1

Observation 6f11233e-593b-4c18-ba15-c407c573ba14 · outbound

This paper cites Nobili and I.

Mean curvature and sharp Willmore inequalities in metric spaces Nobili and I

Reference 36

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source=arxiv_source observed=2026-07-30T14:07:06.381472Z digest=sha256:ebbfb419a0c897c8366d7589c4bea30b138cdfff044bcc753ba770716f2e2579

Observation 95c8ae2a-d3f6-47bb-b4c8-1179e0576969 · outbound

This paper cites Nobili and I.

Mean curvature and sharp Willmore inequalities in metric spaces Nobili and I

Reference 37

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source=arxiv_source observed=2026-07-30T14:07:06.384855Z digest=sha256:fb435e32399bf5deec2864df9c04f6dd75d138e107dfc6d750b1ef330dcb54eb

Observation 407fff7a-a672-4a0e-b53b-01fa63d004e0 · outbound

This paper cites Savar \'e , Self-improvement of the B akry-\' E mery condition and W asserstein contraction of the heat flow in RCD (K, ) metric measure spaces , Discrete Contin.

Mean curvature and sharp Willmore inequalities in metric spaces Savar \'e , Self-improvement of the B akry-\' E mery condition and W asserstein contraction of the heat flow in RCD (K, ) metric measure spaces , Discrete Contin

Reference 38

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source=arxiv_source observed=2026-07-30T14:07:06.389024Z digest=sha256:eb60b4028aee6bc611cf115f9421d0de7511a1c2f653234716d5cf339445997e

Observation 86a13bce-2147-43e5-9375-4018f3ac8e7a · outbound

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Mean curvature and sharp Willmore inequalities in metric spaces Unresolved cited work

Reference 39

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source=arxiv_source observed=2026-07-30T14:07:06.391876Z digest=sha256:1596494697ea31e4e1c7746a171f66ffc8a2edc1b1b4fe4b35d6f8b34d04dede

Observation fc20a850-8a5e-44fe-b540-bf7199842b52 · outbound

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Mean curvature and sharp Willmore inequalities in metric spaces Unresolved cited work

Reference 40

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source=arxiv_source observed=2026-07-30T14:07:06.395152Z digest=sha256:1577b2f9c46691e5b3718ddc536df3a6352d9424c3b2c1e95154dedab7d791ec

Observation e102995c-a515-4d30-9e35-6f7475311715 · outbound

This paper cites Almost rigidity of the Talenti-type comparison theorem on $\mathrm{RCD}(0,N)$ space.

Mean curvature and sharp Willmore inequalities in metric spaces Almost rigidity of the Talenti-type comparison theorem on $\mathrm{RCD}(0,N)$ space

Reference 41

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T14:07:06.398526Z digest=sha256:08c1f96f7cc3785039cab16d5f2da2d730dd63bad3f224d437a6b2d880bc50e0

Pith citing papers

No inbound Pith citation observations are available.