Paper Citation Record · LEDGER

Eigenvalue estimates and applications on weighted manifolds

As of 14 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2412.09396.

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

pith.paper-citation-record.v1
2412.09396 v4

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T17:17:23.058438Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

23 of 23 outbound references displayed

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External citation measurements

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Outbound references

Observation 8c1c1e22-e51c-4e7d-a931-534390ee50c3 · outbound

This paper cites Fonction de Green et valeurs propres du laplacien.

Eigenvalue estimates and applications on weighted manifolds Fonction de Green et valeurs propres du laplacien

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:17:23.355474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation cc33bcf9-4ee4-4b4f-89b2-51e68b64583c · outbound

This paper cites C., Manﬁo, F.

Eigenvalue estimates and applications on weighted manifolds C., Manﬁo, F

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:17:23.345645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c3d3a2f4-4fcf-4895-a6ae-dbed945f5ce0 · outbound

This paper cites P., Manﬁo, F.

Eigenvalue estimates and applications on weighted manifolds P., Manﬁo, F

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:17:23.333758Z

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Observation 7a02279d-1fb8-4a6a-9c8b-05a487683955 · outbound

This paper cites Diﬀusions hypercontractives.

Eigenvalue estimates and applications on weighted manifolds Diﬀusions hypercontractives

Reference 4

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Observation 1cb685dc-84f2-45ad-ae9c-51c916c9a9d5 · outbound

This paper cites The relation between the Laplacian and the diameter for manifolds of non-negative curvature.

Eigenvalue estimates and applications on weighted manifolds The relation between the Laplacian and the diameter for manifolds of non-negative curvature

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:17:23.310098Z

Source-reported events for the cited work

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Observation 1ac23d92-2667-4af6-9bae-07fdc24da7a6 · outbound

This paper cites A lower bound for the smallest eigenvalue of the Laplacian.

Eigenvalue estimates and applications on weighted manifolds A lower bound for the smallest eigenvalue of the Laplacian

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:17:23.297626Z

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Observation bbfe179b-f309-4a02-9252-0da497047855 · outbound

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Eigenvalue estimates and applications on weighted manifolds Unresolved cited work

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b19eede5-a8e6-4100-8289-e3b475a9861d · outbound

This paper cites Stability and Compactness for complete f -minimal surfaces.

Eigenvalue estimates and applications on weighted manifolds Stability and Compactness for complete f -minimal surfaces

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:17:23.272561Z

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Observation c6d44229-c6f8-4e50-b858-e06419e909a4 · outbound

This paper cites Simons-Type Equation for f -Minimal Hypersurfaces and Applications.

Eigenvalue estimates and applications on weighted manifolds Simons-Type Equation for f -Minimal Hypersurfaces and Applications

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:17:23.261343Z

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Observation c8ff1355-cc76-4e0f-8304-9888c8b328d7 · outbound

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Eigenvalue estimates and applications on weighted manifolds Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:17:23.249647Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7d1cc446-1119-48f2-8cbc-66962064027f · outbound

This paper cites f -minimal surface and manifold with positive m- Bakry- ´Emery Ricci curvature.

Eigenvalue estimates and applications on weighted manifolds f -minimal surface and manifold with positive m- Bakry- ´Emery Ricci curvature

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:17:23.237137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 507a07a5-3f68-485d-a5fc-1f8cb05e4d67 · outbound

This paper cites Stable weighted minimal surfaces in manifolds with non-neg ative Bakry–Emery Ricci tensor.

Eigenvalue estimates and applications on weighted manifolds Stable weighted minimal surfaces in manifolds with non-neg ative Bakry–Emery Ricci tensor

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:17:23.226535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f5d665bf-fa78-40bb-b3cf-aeea5d3a983d · outbound

This paper cites Extension of Reilly formula with applications to eigen- value estimates for drifting Laplacians.

Eigenvalue estimates and applications on weighted manifolds Extension of Reilly formula with applications to eigen- value estimates for drifting Laplacians

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:17:23.214767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 24cf7b3d-8e79-4347-ab34-ce51613d70f0 · outbound

This paper cites Manifolds with density.

Eigenvalue estimates and applications on weighted manifolds Manifolds with density

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:17:23.202485Z

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Observation 3e160642-faa6-49b3-ae98-be6d4138abba · outbound

This paper cites Geometry of manifolds with densities.

Eigenvalue estimates and applications on weighted manifolds Geometry of manifolds with densities

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:17:23.188655Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a3f8b640-66a3-4272-b9bb-8d3d9414e390 · outbound

This paper cites The entropy formula for the Ricci flow and its geometric applications.

Eigenvalue estimates and applications on weighted manifolds The entropy formula for the Ricci flow and its geometric applications

Reference 16

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Source-reported events for the cited work

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Observation d158947b-f6c2-48bd-b47f-8bac56dff059 · outbound

This paper cites Applications of the Hessian operator in a Riemannian mani- fold.

Eigenvalue estimates and applications on weighted manifolds Applications of the Hessian operator in a Riemannian mani- fold

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:17:23.176214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f360f296-4de0-417c-b0b7-783f23eb77a8 · outbound

This paper cites On the geometry of metric measure spaces.

Eigenvalue estimates and applications on weighted manifolds On the geometry of metric measure spaces

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:17:23.164558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e27c2ade-92a2-49a4-882e-ce120062ecb5 · outbound

This paper cites On the geometry of metric measure spaces.

Eigenvalue estimates and applications on weighted manifolds On the geometry of metric measure spaces

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:17:23.152611Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a166b044-7751-44ed-9e43-bea362614961 · outbound

This paper cites Optimal Transport: Old and New.

Eigenvalue estimates and applications on weighted manifolds Optimal Transport: Old and New

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:17:23.139787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 196e922b-b3e9-4560-8dd8-3a436f171144 · outbound

This paper cites Comparison geometry for the Bakry-Emery Ricci tensor.

Eigenvalue estimates and applications on weighted manifolds Comparison geometry for the Bakry-Emery Ricci tensor

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:17:23.127136Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8ba3957d-fc18-4369-942b-c2aa08f41345 · outbound

This paper cites an unresolved cited work.

Eigenvalue estimates and applications on weighted manifolds Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:17:23.115401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8439efa1-bbc4-4c3e-b165-48a2ae926cd2 · outbound

This paper cites Weighted volume growth and vanishing properties of f -minimal hypersurfaces in a weighted manifold.

Eigenvalue estimates and applications on weighted manifolds Weighted volume growth and vanishing properties of f -minimal hypersurfaces in a weighted manifold

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:17:23.103092Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

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