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Paper Citation Record · LEDGER

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian

As of 16 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2606.29659.

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pith.paper-citation-record.v1
2606.29659 v1

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measured 41 of 41 reference resolution

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measured 41 of 41 standing notices

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41 of 41 outbound references displayed

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Outbound references

Observation 6e4acc24-6cd8-4ec5-8727-a7f823c79855 · outbound

This paper cites Agricola, S.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Agricola, S

Reference 1

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Observation 52f3a0ff-4faa-40c0-8805-0c3b7775184c · outbound

This paper cites Akbulut, S.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Akbulut, S

Reference 2

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Observation 9c79d4fc-1b2b-4d7f-97a6-591ca8c0b844 · outbound

This paper cites Anderson, M.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Anderson, M

Reference 3

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Observation 2c71b9cf-ff9f-4b93-bd7f-64744b38e95c · outbound

This paper cites Besse, Einstein manifolds, Springer-Verlag, Berlin, 1987.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Besse, Einstein manifolds, Springer-Verlag, Berlin, 1987

Reference 4

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Observation 7a10f85d-0833-4aba-9466-3ab791d455f9 · outbound

This paper cites Bilal, S.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Bilal, S

Reference 5

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Observation 9ae3eb3c-ee78-4578-916d-26f8b6ec4d76 · outbound

This paper cites Bogoyavlenskaya, On a new family of complete Riemannian metrics onS 3 ×R 4 with holonomy groupG 2, Sibirsk.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Bogoyavlenskaya, On a new family of complete Riemannian metrics onS 3 ×R 4 with holonomy groupG 2, Sibirsk

Reference 6

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Observation 0f2d99a0-4df6-405c-8426-03dd66c669bb · outbound

This paper cites Bryant, Metrics with exceptional holonomy, Ann.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Bryant, Metrics with exceptional holonomy, Ann

Reference 7

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Observation cc697db9-18ec-4a20-87be-385c90072b61 · outbound

This paper cites Bryant, S.M.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Bryant, S.M

Reference 8

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source=pdf_text observed=2026-06-30T07:08:38.467638Z digest=sha256:f74a2b85d68cb38f0b33dc467b69c349e2007e2d9ea02bd9c0bdac1c96dc7136

Observation f9fae811-d0d0-4a94-bd73-4877afb8fdf5 · outbound

This paper cites Laplacian Flow for Closed $G_2$-Structures: Short Time Behavior.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Laplacian Flow for Closed $G_2$-Structures: Short Time Behavior

Reference 9

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Observation d55d18d3-e533-457f-8ea8-6dcf111eaa3d · outbound

This paper cites Buttsworth, M.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Buttsworth, M

Reference 10

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Observation ff036cad-0e67-446e-8c50-fad5ebcb460b · outbound

This paper cites Buttsworth, A.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Buttsworth, A

Reference 11

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Observation d477ed13-a24d-4cbc-970d-056fd84fc089 · outbound

This paper cites Calabi, Construction and properties of some 6-dimensional almost complex manifolds, Trans.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Calabi, Construction and properties of some 6-dimensional almost complex manifolds, Trans

Reference 12

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Observation 93f91e3a-2711-4ffa-9fca-35be15f1c22d · outbound

This paper cites The Gauss formulas for Laplacians on submanifolds.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian The Gauss formulas for Laplacians on submanifolds

Reference 13

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Observation 1862f6d8-1945-4c40-b673-d74614d7c167 · outbound

This paper cites Charalambous, L.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Charalambous, L

Reference 14

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Observation 8e889912-ecf3-4768-bdcf-b1e4e7fb43e4 · outbound

This paper cites Chiossi, S.M.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Chiossi, S.M

Reference 15

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source=pdf_text observed=2026-06-30T07:08:38.467638Z digest=sha256:8c9d4bbfc8030d8ee0c6353c992e5fe52a522f63a2fafba68edd91d305c0edbb

Observation a070aa21-98e9-47d5-85a1-0629c7285061 · outbound

This paper cites Cleyton, A.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Cleyton, A

Reference 16

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Observation 65fb1b58-a8ce-4eee-88d7-76f8fad845cb · outbound

This paper cites Cort´ es, T.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Cort´ es, T

Reference 17

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Observation 8a430af1-d82e-4549-8bcf-192d669674a7 · outbound

This paper cites Crowley, J.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Crowley, J

Reference 18

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source=pdf_text observed=2026-06-30T07:08:38.467638Z digest=sha256:acbb96cc88a8bc6d0dab6ed5c55ddc01acd3f5a32b0219e62c496f35e3c66cf4

Observation 11309318-adcd-4aa2-9458-88c68173060b · outbound

This paper cites Darvas, Y.A.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Darvas, Y.A

Reference 19

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source=pdf_text observed=2026-06-30T07:08:38.467638Z digest=sha256:039aac9c3237e837e0318df784d95d00810666863fa65e4be6c75e02e3eaea1c

Observation 40d4c6da-1a7a-4289-be68-02716eb8ee12 · outbound

This paper cites DeTurck, H.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian DeTurck, H

Reference 20

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source=pdf_text observed=2026-06-30T07:08:38.467638Z digest=sha256:2b633bc08617fa69d6aeaf03d0d91c35652222c6ea674b818b1719f8cb150251

Observation d18b07df-fdf8-445d-bccc-ce54a7031e57 · outbound

This paper cites Donaldson, Remarks onG 2-manifolds with boundary, Surv.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Donaldson, Remarks onG 2-manifolds with boundary, Surv

Reference 21

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Observation 760172d2-4d90-4197-bfaf-6e9ec291d818 · outbound

This paper cites Donaldson, An elliptic boundary value problem forG 2-structures, Ann.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Donaldson, An elliptic boundary value problem forG 2-structures, Ann

Reference 22

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Observation 4aed7291-55b2-4c3b-872b-e49be0a0a8e2 · outbound

This paper cites Falcitelli, A.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Falcitelli, A

Reference 23

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Observation 691c3c7f-1d58-465f-917f-87303e03355b · outbound

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Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Unresolved cited work

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Observation 19f8c9ad-c496-43bd-a1e2-4daf2e9457f4 · outbound

This paper cites Foscolo, M.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Foscolo, M

Reference 25

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Observation 6753f8fd-1f72-4a3c-93a5-5701b6ae85b3 · outbound

This paper cites Fowdar,S 1-invariant Laplacian flow, J.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Fowdar,S 1-invariant Laplacian flow, J

Reference 26

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Observation d3584c42-f611-4b30-bf1b-e5956f5e3f23 · outbound

This paper cites Haskins and J.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Haskins and J

Reference 27

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source=pdf_text observed=2026-06-30T07:08:38.467638Z digest=sha256:9edffdbbde3388717a186f9ec9fa0d475a5db9d6dd00379e004c74ba57b84f9b

Observation 00227098-7d37-4a26-b6c1-ee4964291791 · outbound

This paper cites Sp(2)-invariant expanders and shrinkers in Laplacian flow.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Sp(2)-invariant expanders and shrinkers in Laplacian flow

Reference 28

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source=pdf_text observed=2026-06-30T07:08:38.467638Z digest=sha256:ee973d5606a684ad464277519dacf1d2569e1b62209e0bf98fdadd4bc31124e0

Observation 7db24fcc-48ab-4e62-88c6-d4968c1b04ab · outbound

This paper cites Huang, Y.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Huang, Y

Reference 29

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Observation e851a8e0-b0ab-41c6-8a42-6804804e8f91 · outbound

This paper cites Hudecek,G 2-Poisson equation on homogeneous spheres, submitted, arXiv:2510.04638 [math.DG], 2025.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Hudecek,G 2-Poisson equation on homogeneous spheres, submitted, arXiv:2510.04638 [math.DG], 2025

Reference 30

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source=pdf_text observed=2026-06-30T07:08:38.467638Z digest=sha256:6f0d3a20bdaafb94f16eb104bc290f013a853b6d9ac12d34f79221cbf0ad6409

Observation 7c863f53-9f2f-40df-90ba-6f966f4da786 · outbound

This paper cites Lauret, C.E.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Lauret, C.E

Reference 31

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source=pdf_text observed=2026-06-30T07:08:38.467638Z digest=sha256:45487252d8c3af0a9eaa7688d42cd09375d648bb2ff225da323f11cd99418d08

Observation d3e50087-bfc9-476d-9ae6-f326f4b14304 · outbound

This paper cites Lotay, Geometric flows ofG 2 structures, in: S.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Lotay, Geometric flows ofG 2 structures, in: S

Reference 32

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Observation 1598579e-3c5c-4246-991a-304f5dc2369f · outbound

This paper cites Marini, Dirichlet and Neumann boundary value problems for Yang–Mills connections, Comm.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Marini, Dirichlet and Neumann boundary value problems for Yang–Mills connections, Comm

Reference 33

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Observation 134537a9-35bb-4135-85ab-88083f7388ee · outbound

This paper cites Mart´ ın Cabrera,SU(3)-structures on hypersurfaces of manifolds withG 2-structure, Monatshefte Math.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Mart´ ın Cabrera,SU(3)-structures on hypersurfaces of manifolds withG 2-structure, Monatshefte Math

Reference 34

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Observation 1c72bd91-2132-49ff-b825-d528611244a8 · outbound

This paper cites Remarks on some integral formulas for $G_2$-structures.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Remarks on some integral formulas for $G_2$-structures

Reference 35

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source=pdf_text observed=2026-06-30T07:08:38.467638Z digest=sha256:2f3cc169aa27de3af250cadf0e108d4043341c6cd639dc6a2cd079c1392885c7

Observation 4cac1cbc-a0ec-462c-8b8f-42ea99c6eb6f · outbound

This paper cites Pulemotov, The Li-Yau-Hamilton estimate and the Yang-Mills heat equation on manifolds with boundary, J.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Pulemotov, The Li-Yau-Hamilton estimate and the Yang-Mills heat equation on manifolds with boundary, J

Reference 36

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source=pdf_text observed=2026-06-30T07:08:38.467638Z digest=sha256:21a9909c9ef4ad3dddb57557d3a5f6e4a7431b51bff67cfc20ab46a27e1c7741

Observation 9e99bed6-6f42-4222-b483-49f20e5158c9 · outbound

This paper cites Pulemotov, Metrics with prescribed Ricci curvature near the boundary of a manifold, Math.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Pulemotov, Metrics with prescribed Ricci curvature near the boundary of a manifold, Math

Reference 37

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Observation 4b1f5012-e4bb-45df-9063-68e3eca99ca9 · outbound

This paper cites Pulemotov, The Dirichlet problem for the prescribed Ricci curvature equation on cohomogeneity one manifolds, Ann.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Pulemotov, The Dirichlet problem for the prescribed Ricci curvature equation on cohomogeneity one manifolds, Ann

Reference 38

Resolution
unresolved
no resolver link, observed 2026-06-30T07:08:38.467638Z

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source=pdf_text observed=2026-06-30T07:08:38.467638Z digest=sha256:fa6f972a6b9947dfff2a565a801618a2a47404f19cf63e54bc5a76ea43c7ef14

Observation 07e416e9-631e-48b2-8c5f-173b5d3ec970 · outbound

This paper cites Pulemotov, Y.A.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Pulemotov, Y.A

Reference 39

Resolution
unresolved
no resolver link, observed 2026-06-30T07:08:38.467638Z

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source=pdf_text observed=2026-06-30T07:08:38.467638Z digest=sha256:57563928600cd2beb9a01ad6db16d862a1821c59eeb806c436e3cc7ed3b3cd4d

Observation 565ddfb8-d98f-432b-a0dc-c0149d36b2a8 · outbound

This paper cites Rubinstein, The Ricci iteration and its applications, C.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Rubinstein, The Ricci iteration and its applications, C

Reference 40

Resolution
unresolved
no resolver link, observed 2026-06-30T07:08:38.467638Z

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source=pdf_text observed=2026-06-30T07:08:38.467638Z digest=sha256:10a446959d523803b91cde0ea5a44f0fefa759d6d14933e5a2f943be56d336d7

Observation c6953578-d938-4f5f-99ae-243bbcfbdec2 · outbound

This paper cites Singhal, Nearly half-flatSU(3) structures onS 3 ×S 3, Diff.

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian Singhal, Nearly half-flatSU(3) structures onS 3 ×S 3, Diff

Reference 41

Resolution
unresolved
no resolver link, observed 2026-06-30T07:08:38.467638Z

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source=pdf_text observed=2026-06-30T07:08:38.467638Z digest=sha256:209f8fab13c9299d9eb2f217c857be2a30a642b56b4e99a7db7b6d4d636bf4ab

Pith citing papers

No inbound Pith citation observations are available.