Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T12:44:16.829102Z
Paper Citation Record · LEDGER
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers
As of 12 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 2 inbound Pith citation observations for arXiv:2411.17078.
A citation records a reference. It does not transfer a finding from one paper to another.
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One-hop event checks from named stored sources.
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Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-26T23:13:51.419065Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T22:49:02.854602Z
Reference resolution
43 of 43 outbound references displayed
- verified exact1
- verified fuzzy34
- unresolved8
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 3f69b249-25cc-4aff-b5c1-344fdb36875e · outbound
This paper cites Aubin, ´Equations diff´ erentielles non lin´ eaires et probl` eme de Yamabe concernant la cour- bure scalaire, J.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Aubin, ´Equations diff´ erentielles non lin´ eaires et probl` eme de Yamabe concernant la cour- bure scalaire, J
Reference 1
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5017c70f-1dd5-482a-8b53-fd79498cc54e · outbound
This paper cites Aubin, Some Nonlinear Problems in Riemannian Geometry , Springer, Berlin 1998.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Aubin, Some Nonlinear Problems in Riemannian Geometry , Springer, Berlin 1998
Reference 2
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 212a9bb5-db56-45a3-b26a-a7c0ae24c7c8 · outbound
This paper cites Baudoin and B.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Baudoin and B
Reference 3
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- raw_fallback, observed 2026-08-12T12:44:17.780053Z
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b4d62868-e856-444f-9309-32ece7e48b66 · outbound
This paper cites an unresolved cited work.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Unresolved cited work
Reference 4
- Resolution
- unresolved
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b1349cac-86f9-42da-acd3-05d5d5014a75 · outbound
This paper cites B´ erard-Bergery and J.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers B´ erard-Bergery and J
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:44:17.740289Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9885b046-c24a-400d-829a-f7a75443baf9 · outbound
This paper cites Berger, Sur les premi´ eres valeurs propres des vari´ et´ es Riemanniennes, Compositio.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Berger, Sur les premi´ eres valeurs propres des vari´ et´ es Riemanniennes, Compositio
Reference 6
- Resolution
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- raw_fallback, observed 2026-08-12T12:44:17.720796Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5dd11c09-7e12-4c1e-8216-d0f79cc1f34c · outbound
This paper cites Besse, Einstein Manifolds , Springer-Verlag, 1987.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Besse, Einstein Manifolds , Springer-Verlag, 1987
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:44:17.702223Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6b118918-09b8-4aa7-a984-79e940e5ab96 · outbound
This paper cites an unresolved cited work.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Unresolved cited work
Reference 8
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c4200827-2062-4ac0-a86d-541cfffe26bf · outbound
This paper cites an unresolved cited work.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Unresolved cited work
Reference 9
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- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d6e0fdc3-88d7-451b-8269-5f5975cf210e · outbound
This paper cites Bleecker, The spectrum of a Riemannian manifold with a unit Killing vector field, Trans.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Bleecker, The spectrum of a Riemannian manifold with a unit Killing vector field, Trans
Reference 10
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- raw_fallback, observed 2026-08-12T12:44:17.646039Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8ad9b301-67b0-4e1f-abce-a8fb8d2d68f8 · outbound
This paper cites Chrysikos and Y.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Chrysikos and Y
Reference 11
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- raw_fallback, observed 2026-08-12T12:44:17.628284Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f1a9da2e-2cb8-4eee-bb3b-e392065781a2 · outbound
This paper cites Colbois and J.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Colbois and J
Reference 12
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- raw_fallback, observed 2026-08-12T12:44:17.609257Z
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 28e60633-6d3b-433e-8dab-c08513d2ca81 · outbound
This paper cites Davidov and O.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Davidov and O
Reference 13
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- raw_fallback, observed 2026-08-12T12:44:17.591153Z
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Observation 1def00b7-0c61-4b43-a479-2397956852ff · outbound
This paper cites an unresolved cited work.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Unresolved cited work
Reference 14
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- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cffdd9cb-21e4-4dec-8054-0b98f9cdaafd · outbound
This paper cites an unresolved cited work.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Unresolved cited work
Reference 15
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9bbbe618-3ed9-4502-b29f-3566a6f2e90e · outbound
This paper cites an unresolved cited work.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T12:44:17.528280Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d83626e5-f90f-4940-a7bb-c672a6b68601 · outbound
This paper cites Friedrich and H.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Friedrich and H
Reference 17
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- raw_fallback, observed 2026-08-12T12:44:17.510384Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d1d7e247-106a-420b-b2e6-8b19276de470 · outbound
This paper cites Grama and K.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Grama and K
Reference 18
- Resolution
- verified exact
- raw_fallback, observed 2026-08-12T12:44:16.988402Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4c0928b5-ecf5-4de3-8e3a-ea3efa9fb431 · outbound
This paper cites Gromoll and K.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Gromoll and K
Reference 19
- Resolution
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- raw_fallback, observed 2026-08-12T12:44:17.490244Z
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8d1350d2-19a5-4f1d-8b46-d4048064f236 · outbound
This paper cites Gromoll and G.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Gromoll and G
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:44:17.472418Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2435064f-89a6-481d-b998-ff30e48e163f · outbound
This paper cites Hermann, A sufficient condition that a mapping of Riemannian ma nifolds be a fibre bundle, Proc.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Hermann, A sufficient condition that a mapping of Riemannian ma nifolds be a fibre bundle, Proc
Reference 21
- Resolution
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- raw_fallback, observed 2026-08-12T12:44:17.454557Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d1b1d937-ea82-46e8-948e-cbf56f75c506 · outbound
This paper cites Hersch, Quatre propri´ et´ es isop´ erim´ etriques de membranes sph´ eriques homog` enes, C.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Hersch, Quatre propri´ et´ es isop´ erim´ etriques de membranes sph´ eriques homog` enes, C
Reference 22
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- raw_fallback, observed 2026-08-12T12:44:17.434416Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a001ea0c-0eb4-434b-8d72-ae59731c1c9a · outbound
This paper cites Karpukhin, Upper bounds for the first eigenvalue of the Lap lacian on non-orientable surfaces, Int.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Karpukhin, Upper bounds for the first eigenvalue of the Lap lacian on non-orientable surfaces, Int
Reference 23
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- raw_fallback, observed 2026-08-12T12:44:17.416889Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 772087c6-bb2d-41d6-8217-a7c57d58d139 · outbound
This paper cites Kobayashi, Topology of positively pinched Kaehler manifolds, T ohoku Math.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Kobayashi, Topology of positively pinched Kaehler manifolds, T ohoku Math
Reference 24
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- raw_fallback, observed 2026-08-12T12:44:17.396016Z
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 180ef474-a526-47e5-876b-a9edf561959f · outbound
This paper cites Konishi, On manifolds with Sasakian 3-structure over quater nion Kaehler manifolds, K¯ odai Math.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Konishi, On manifolds with Sasakian 3-structure over quater nion Kaehler manifolds, K¯ odai Math
Reference 25
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- raw_fallback, observed 2026-08-12T12:44:17.376144Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 652816d1-dc6c-423f-b18b-b2085ebbdccc · outbound
This paper cites Muto, The first eigenvalue of the Laplacian on even dimensiona l spheres, Tˆ ohoku Math.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Muto, The first eigenvalue of the Laplacian on even dimensiona l spheres, Tˆ ohoku Math
Reference 26
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- raw_fallback, observed 2026-08-12T12:44:17.357206Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 34a223e3-a227-436b-90d7-4073f391e4af · outbound
This paper cites Muto and H.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Muto and H
Reference 27
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- raw_fallback, observed 2026-08-12T12:44:17.327708Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3e4df314-2cf9-4782-8c7f-47adbdd158b8 · outbound
This paper cites Nagy and U.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Nagy and U
Reference 28
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- raw_fallback, observed 2026-08-12T12:44:17.307558Z
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f1f7ee54-d1bd-415b-a490-9bd5a9ecbc96 · outbound
This paper cites Obata, Certain conditions for a Riemannian manifold to be isome tric with a sphere, J.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Obata, Certain conditions for a Riemannian manifold to be isome tric with a sphere, J
Reference 29
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- raw_fallback, observed 2026-08-12T12:44:17.286578Z
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Observation 29424aa5-3ffb-4a67-b2f8-b76cebd80aed · outbound
This paper cites Otoba, Uniqueness and multiplicity of constant scalar curvat ure metrics, PhD thesis, Keio University, 2016.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Otoba, Uniqueness and multiplicity of constant scalar curvat ure metrics, PhD thesis, Keio University, 2016
Reference 30
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- raw_fallback, observed 2026-08-12T12:44:17.263942Z
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 121673d6-b6e3-4ba0-b869-0760674c776b · outbound
This paper cites Ranjan, Riemannian submersions of spheres with totally geod esic fibres, Osaka.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Ranjan, Riemannian submersions of spheres with totally geod esic fibres, Osaka
Reference 31
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- raw_fallback, observed 2026-08-12T12:44:17.243968Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ae002dcb-c166-4755-a4ad-b3c9c5cc44ff · outbound
This paper cites Sakai, Riemannian Geometry, Translations of Mathematical M onographs 149, American Mathematical Society, Providence, RI, 1996.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Sakai, Riemannian Geometry, Translations of Mathematical M onographs 149, American Mathematical Society, Providence, RI, 1996
Reference 32
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- raw_fallback, observed 2026-08-12T12:44:17.225353Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a016c5f0-fdfa-4a56-876f-473436bee023 · outbound
This paper cites Sakane, Homogeneous Einstein metrics on a principal circle bu ndle, in: Complex Geome- try, (Osaka 1990), in: Lecture Notes in Pure and Applied Mathemat ics 143(1993), 161–178.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Sakane, Homogeneous Einstein metrics on a principal circle bu ndle, in: Complex Geome- try, (Osaka 1990), in: Lecture Notes in Pure and Applied Mathemat ics 143(1993), 161–178
Reference 33
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1271d6df-609a-46ba-9e84-5abef7baa013 · outbound
This paper cites Salamon, Quaternionic K¨ ahler Manifolds, Invent.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Salamon, Quaternionic K¨ ahler Manifolds, Invent
Reference 34
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- raw_fallback, observed 2026-08-12T12:44:17.186070Z
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6b2d56c9-88f1-4ac5-bb84-58074a72220e · outbound
This paper cites Schoen, Conformal deformation of a Riemannian metric to co nstant scalar curvature, J.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Schoen, Conformal deformation of a Riemannian metric to co nstant scalar curvature, J
Reference 35
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- raw_fallback, observed 2026-08-12T12:44:17.169032Z
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9a5a5814-c500-4880-acc3-72f141b17efd · outbound
This paper cites Tanno, The first eigenvalue of the Laplacian on spheres, Tˆ o hoku Math J.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Tanno, The first eigenvalue of the Laplacian on spheres, Tˆ o hoku Math J
Reference 36
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- raw_fallback, observed 2026-08-12T12:44:17.152155Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 43aeb439-d182-437c-b658-cb20b3b84c25 · outbound
This paper cites Tanno, Some metrics on a (4 r +3)-sphere and spectra, Tsukuba J.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Tanno, Some metrics on a (4 r +3)-sphere and spectra, Tsukuba J
Reference 37
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- raw_fallback, observed 2026-08-12T12:44:17.131803Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3499d517-c311-4efc-9a0f-34b8f505bf20 · outbound
This paper cites an unresolved cited work.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T12:44:17.113618Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ce82eb61-aa0a-4b8c-84e1-be7aef738273 · outbound
This paper cites Urakawa, On the least positive eigenvalue of the Laplacian for compact group manifolds, J.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Urakawa, On the least positive eigenvalue of the Laplacian for compact group manifolds, J
Reference 39
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- raw_fallback, observed 2026-08-12T12:44:17.091438Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 76e43303-5f9a-4c06-85c0-1c69657299a4 · outbound
This paper cites an unresolved cited work.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T12:44:17.071089Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c37ff3fe-994b-4017-a525-9a21b6fc4d9c · outbound
This paper cites Wilking, Index parity of closed geodesics and rigidity of Hopf fib rations, Invent.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Wilking, Index parity of closed geodesics and rigidity of Hopf fib rations, Invent
Reference 41
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- raw_fallback, observed 2026-08-12T12:44:17.052549Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ec15b854-59fc-48ea-b51e-8d1334ae6961 · outbound
This paper cites Yamabe, On a deformation of Riemannian structures on comp act manifolds, Osaka Math.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Yamabe, On a deformation of Riemannian structures on comp act manifolds, Osaka Math
Reference 42
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- raw_fallback, observed 2026-08-12T12:44:17.033327Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3d41f131-05c7-4690-811e-d7064599bc52 · outbound
This paper cites Yang and S.
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers Yang and S
Reference 43
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- raw_fallback, observed 2026-08-12T12:44:17.013199Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
Observation 3c53d677-1f06-4e78-9d7e-8d944293236b · inbound
Explicit Laplace Spectra of Homogeneous Principal Bundles cites this paper.
Explicit Laplace Spectra of Homogeneous Principal Bundles Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers
Reference 37
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- arxiv_id, observed 2026-05-13T00:57:00.630680Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 309a2d86-ea7e-496b-895e-f1f378c8ff55 · inbound
The horizontal Laplacian of a Riemannian submersion with totally geodesic fibers and an integrable horizontal distribution cites this paper.
The horizontal Laplacian of a Riemannian submersion with totally geodesic fibers and an integrable horizontal distribution Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers
Reference 14
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T22:49:02.858996Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.