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Paper Citation Record · LEDGER

The Bourguignon Laplacian and harmonic symmetric bilinear forms

As of 17 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1908.02024.

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

pith.paper-citation-record.v1
1908.02024 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:09:29.464112Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

24 of 24 outbound references displayed

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External citation measurements

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Outbound references

Observation 8c9d8e38-e1ad-4cb4-8627-66ef30a8f14a · outbound

This paper cites an unresolved cited work.

The Bourguignon Laplacian and harmonic symmetric bilinear forms Unresolved cited work

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 1a634206-a15f-4c75-a43b-8efe999c47fa · outbound

This paper cites and Shoen R., Lp and mean value properties of subharmonic func- tions on Riemannian manifolds, Acta Mathematica, 153:1 (1984), 279 – 301.

The Bourguignon Laplacian and harmonic symmetric bilinear forms and Shoen R., Lp and mean value properties of subharmonic func- tions on Riemannian manifolds, Acta Mathematica, 153:1 (1984), 279 – 301

Reference 2

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a2309b8e-ce58-4f3f-bf5a-9cedb4aceed7 · outbound

This paper cites an unresolved cited work.

The Bourguignon Laplacian and harmonic symmetric bilinear forms Unresolved cited work

Reference 3

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Source-reported events for the cited work

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Observation 4e2727f4-c001-4676-8005-5120b6148ca6 · outbound

This paper cites Pacific J.

The Bourguignon Laplacian and harmonic symmetric bilinear forms Pacific J

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 91bce711-0f6d-4ea2-aeff-595ca613c9b0 · outbound

This paper cites and Rassias T.

The Bourguignon Laplacian and harmonic symmetric bilinear forms and Rassias T

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 91bae10d-ea28-4c14-b9f7-5dbfd4a1a763 · outbound

This paper cites and Wu H., Integral of subharmonic functions on man ifolds of nonnegative curvature, Inventiones Math., 27 (1974), 265–2 98.

The Bourguignon Laplacian and harmonic symmetric bilinear forms and Wu H., Integral of subharmonic functions on man ifolds of nonnegative curvature, Inventiones Math., 27 (1974), 265–2 98

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 59a1b258-3927-4326-ba64-8cb840a0b031 · outbound

This paper cites and Shen C., Codazzi tensor fields, curvature an d Pontrya- gin forms, Proc.

The Bourguignon Laplacian and harmonic symmetric bilinear forms and Shen C., Codazzi tensor fields, curvature an d Pontrya- gin forms, Proc

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 8256c4d3-4142-41e9-ba25-5afff140b412 · outbound

This paper cites an unresolved cited work.

The Bourguignon Laplacian and harmonic symmetric bilinear forms Unresolved cited work

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 453863a0-119d-432e-bdc8-9630898dcfc0 · outbound

This paper cites Math., 63 (198 1), 263–286.

The Bourguignon Laplacian and harmonic symmetric bilinear forms Math., 63 (198 1), 263–286

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3f8d3eef-6e8c-4893-8649-70b88e443155 · outbound

This paper cites and Ebin D., Some decomposition of the space of symme tric tensors on a Riemannian manifold, J.

The Bourguignon Laplacian and harmonic symmetric bilinear forms and Ebin D., Some decomposition of the space of symme tric tensors on a Riemannian manifold, J

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c2007518-1633-48dd-88c0-94e5d8606bc3 · outbound

This paper cites Forms, Currents, Harmonic Forms , Springer-Verlag + Berlin Heidelberg, 1984.

The Bourguignon Laplacian and harmonic symmetric bilinear forms Forms, Currents, Harmonic Forms , Springer-Verlag + Berlin Heidelberg, 1984

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 2d1492a5-ea46-4c8a-8b8d-215401fe97fc · outbound

This paper cites an unresolved cited work.

The Bourguignon Laplacian and harmonic symmetric bilinear forms Unresolved cited work

Reference 12

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 7977b35c-5ebd-4c74-92d0-b4a7351011bb · outbound

This paper cites and Tsyganok I.I., Conformal Killing L2-forms on complete Riemannian manifolds with nonpositive curvature operator, J.

The Bourguignon Laplacian and harmonic symmetric bilinear forms and Tsyganok I.I., Conformal Killing L2-forms on complete Riemannian manifolds with nonpositive curvature operator, J

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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This paper cites and Tsyganok I.I., Theorems on conformal mapp ings of complete Riemannian manifolds and their applications, Balkan J.

The Bourguignon Laplacian and harmonic symmetric bilinear forms and Tsyganok I.I., Theorems on conformal mapp ings of complete Riemannian manifolds and their applications, Balkan J

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 381d5d82-ae12-4535-b504-041a5f4bfc6b · outbound

This paper cites an unresolved cited work.

The Bourguignon Laplacian and harmonic symmetric bilinear forms Unresolved cited work

Reference 15

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b953ff25-3ab2-4db6-b1b6-945bafe4922e · outbound

This paper cites Besse sur la g´ eometrie Riemannienne dimension 4, Cedic.

The Bourguignon Laplacian and harmonic symmetric bilinear forms Besse sur la g´ eometrie Riemannienne dimension 4, Cedic

Reference 16

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 67d22d15-673e-4c5e-a2d0-f74e2724fe25 · outbound

This paper cites Press (1926).

The Bourguignon Laplacian and harmonic symmetric bilinear forms Press (1926)

Reference 17

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a489633d-1a11-47d2-9258-24b011bcee8d · outbound

This paper cites Hopf’s maximum principle with an applica - tion to Riemannian geometry, Duke Math.

The Bourguignon Laplacian and harmonic symmetric bilinear forms Hopf’s maximum principle with an applica - tion to Riemannian geometry, Duke Math

Reference 18

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 587333d3-0282-4c06-b638-0d91328480f7 · outbound

This paper cites and Nomizu K., Foundations of differential geometry, vol.

The Bourguignon Laplacian and harmonic symmetric bilinear forms and Nomizu K., Foundations of differential geometry, vol

Reference 19

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 10030802-f483-48bc-a425-9cbba4940af8 · outbound

This paper cites an unresolved cited work.

The Bourguignon Laplacian and harmonic symmetric bilinear forms Unresolved cited work

Reference 20

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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This paper cites and Wu H., Integrals of subharmonic functions on ma nifolds of nonnegative curvatures, Inventions Math., 27 (1974), 265–2 98.

The Bourguignon Laplacian and harmonic symmetric bilinear forms and Wu H., Integrals of subharmonic functions on ma nifolds of nonnegative curvatures, Inventions Math., 27 (1974), 265–2 98

Reference 21

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation acc9fc40-e47d-4913-830f-8a768319fb13 · outbound

This paper cites an unresolved cited work.

The Bourguignon Laplacian and harmonic symmetric bilinear forms Unresolved cited work

Reference 22

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raw_fallback, observed 2026-08-14T15:09:29.640470Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b14a11ef-a174-4975-a7d7-52f4e6922c38 · outbound

This paper cites and Rassias T., Old and new aspects in spectral geometry, Springer Science + Business Media Dordreht, 2001.

The Bourguignon Laplacian and harmonic symmetric bilinear forms and Rassias T., Old and new aspects in spectral geometry, Springer Science + Business Media Dordreht, 2001

Reference 23

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 4270e324-a2a7-45eb-aac9-6dcc05c2ded3 · outbound

This paper cites (Spectre des Laplacien de Lichnerow icz sur les sph` eres et les projectifs r´ eels), Publ.

The Bourguignon Laplacian and harmonic symmetric bilinear forms (Spectre des Laplacien de Lichnerow icz sur les sph` eres et les projectifs r´ eels), Publ

Reference 24

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raw_fallback, observed 2026-08-14T15:09:29.558836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Pith citing papers

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