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Paper Citation Record · LEDGER

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures

As of 7 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 4 inbound Pith citation observations for arXiv:2607.06588.

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

pith.paper-citation-record.v1
2607.06588 v2

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-13T06:59:08.445954Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T02:03:27.695555Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

33 of 33 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved33
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9c6feaf5-1ae1-48b6-9722-a941e3ae4a9b · outbound

This paper cites an unresolved cited work.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Unresolved cited work

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:9639097e6f761ed7f0e71bd3e04a92ef95b620ac2980ee936501a45ca129ad40

Observation 857782c0-f0ae-411b-b1b7-c21ce3ef9cdb · outbound

This paper cites an unresolved cited work.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Unresolved cited work

Reference 2

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no resolver link, observed 2026-07-13T06:59:08.445954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:fbebdb48142dbefe26d1f6bb7bd33cf9eedcac933f2b149e42154ea2d591046d

Observation 3775a873-f482-4f90-9797-205cccdd88d5 · outbound

This paper cites an unresolved cited work.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Unresolved cited work

Reference 3

Resolution
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no resolver link, observed 2026-07-13T06:59:08.445954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:47f618592f59500697c3d00c29ba8a0a661bbb2c32cab899698fa7a5aa05b537

Observation fba0fcc9-6658-4ad6-99aa-42f217b50240 · outbound

This paper cites an unresolved cited work.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Unresolved cited work

Reference 4

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:a07ff5e464db937684b1f2bc2f7fd5d16adf1dc802f3c421c923b98bbdba5f36

Observation aa7267ea-733d-4343-a835-4d2fddad3483 · outbound

This paper cites an unresolved cited work.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-13T06:59:08.445954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:5b0dfb98efd7a084490cf7ba4198e3bb53ce36980cd99c311cb78a30ac0fc6f7

Observation 1d787210-5d6c-430e-a277-4a6e397856af · outbound

This paper cites de Almeida and F.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures de Almeida and F

Reference 6

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:64b68e87fb5564154d708e65b08a4990296163e776bbfb82331440ff2cf9b1d6

Observation 3e27b0db-cdcb-4502-892c-6c1966cfbdd5 · outbound

This paper cites de Almeida, F.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures de Almeida, F

Reference 7

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no resolver link, observed 2026-07-13T06:59:08.445954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:80d6295c2814d3365a57a78b80dccfa50da5cafd96789c69fceab507b05b1742

Observation 5267a5c9-55ca-4114-a6aa-f7b7e714cd9c · outbound

This paper cites an unresolved cited work.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Unresolved cited work

Reference 8

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:31fcbb4fb33313730a5b578391e8c3591033159ef150661ccf44ff4e4619958a

Observation 0bcf1227-f60e-4341-820c-db4c26d8d58c · outbound

This paper cites Ding and Y.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Ding and Y

Reference 9

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:bab0963a676d627b501be911d1b25edd1a4fa25da14bdfb7c731dacb3276f224

Observation 8e0932b4-717c-42b5-b35f-0774b235bed5 · outbound

This paper cites Rigidity of Closed Minimal Hypersurfaces in $\mathbb{S}^5$.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Rigidity of Closed Minimal Hypersurfaces in $\mathbb{S}^5$

Reference 10

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:2feaa3ff4d8941c8aac1b619e617b12188c96361e22afe4239e12a47d7f97b36

Observation 5529f138-e06f-4213-b7ff-d482514dfcc6 · outbound

This paper cites an unresolved cited work.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Unresolved cited work

Reference 11

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no resolver link, observed 2026-07-13T06:59:08.445954Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:474d2ccd1c8776f397f74ba5441eecf244e532ee6d466ec2945a7342db33b141

Observation 39e0980d-a213-460a-aa51-1e6f9f310a5c · outbound

This paper cites an unresolved cited work.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Unresolved cited work

Reference 12

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:62a7f429fd15eb0e3b2f1eb8c13492cb58020fa12f19ff7199b3d05cdfbc106d

Observation 3c04138a-4b34-4e8f-8418-f6938fb10815 · outbound

This paper cites an unresolved cited work.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Unresolved cited work

Reference 13

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unresolved
no resolver link, observed 2026-07-13T06:59:08.445954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:55b8edc6af812a8e3241a7e9c42689893df44642f31ac0eb814826d29605eb8e

Observation 824c291c-b0ac-48f6-a8bc-ddedb561661f · outbound

This paper cites On Chern's conjecture for minimal hypersurfaces in spheres.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures On Chern's conjecture for minimal hypersurfaces in spheres

Reference 14

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:33fbdfcee75b9fa09967c6541609e4d4fc36215dc4cb91316548cffd1638b29f

Observation bc9eb81b-ee16-4009-be47-fa9c3fb8077d · outbound

This paper cites Lusala, M.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Lusala, M

Reference 15

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:3f5cb8e4e9c614a3945dbe93ae2dee99b45f8bb9713087377c37cd288e17a95b

Observation 115cfcc0-5f54-4fcd-8a55-fb760f8f22fd · outbound

This paper cites an unresolved cited work.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Unresolved cited work

Reference 16

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no resolver link, observed 2026-07-13T06:59:08.445954Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:7e233b1f5e624837a4460d83f88803c6d880b405b41bef8baa193f1cfe1e5655

Observation 99e09d16-2d86-46db-8cf4-82a621cef12d · outbound

This paper cites an unresolved cited work.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Unresolved cited work

Reference 17

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no resolver link, observed 2026-07-13T06:59:08.445954Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:93ae2bce5e4468b20528cbfea3f4024982d0aa83b6a2990fef3a31b836559e51

Observation 88e4efdf-eee7-4572-a7c2-059e3ac43505 · outbound

This paper cites an unresolved cited work.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Unresolved cited work

Reference 18

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no resolver link, observed 2026-07-13T06:59:08.445954Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:6aef29f10a3de8a13320b5404a0d19d8c9ff74808002ec9d376b3f99b928174a

Observation e0841fc7-4727-4f08-98c7-7a91558edfb2 · outbound

This paper cites an unresolved cited work.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Unresolved cited work

Reference 19

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:01dbc8443bc2dd683cee78bb4835591c893b1bdeb0f9e9522ba5f38835d4fbdd

Observation a418c90b-4281-4a59-9dd4-eac5fbddb0b7 · outbound

This paper cites Spruck and L.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Spruck and L

Reference 20

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source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:c954ecb9f3b13f75fd43de6c30d33516f2ebd051ba6d50b7ec1b6375834ce775

Observation ef247619-4b85-42af-9976-b29aaba14001 · outbound

This paper cites an unresolved cited work.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Unresolved cited work

Reference 21

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:ea2d8a3951d285b807388bdb4cc537f2f8bb601e4cf737674c8138c9544cae0f

Observation aab77168-edd2-48a2-ae78-d37534eefe3a · outbound

This paper cites Tang and L.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Tang and L

Reference 22

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:74d5df0585085d5d6a86a059c444a6cfe1c757080082b665e34ea98ef1033b97

Observation ebcbb7bf-199f-410f-886b-566c40ab1625 · outbound

This paper cites an unresolved cited work.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Unresolved cited work

Reference 23

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:d44912f9dc4df40dd8fcd29da7fc0dca167fe3ec22b76fafe313d96a39c364d2

Observation dd0553dc-6e42-426c-9b10-8e037c601a37 · outbound

This paper cites Tang and W.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Tang and W

Reference 24

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:7bb26457565b9b3713f192a687794b9fefe63252d36a1d6c1f31518a6bd31500

Observation e3cd40e0-6c1e-43e1-9b15-06624e68a320 · outbound

This paper cites an unresolved cited work.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Unresolved cited work

Reference 25

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:663ab13d70597ebb3fdad626a23604c866c0cc9540bcae841caab3506601422f

Observation 7c8c1e13-4bcc-4bfd-9684-57bb78624e67 · outbound

This paper cites Xu and Z.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Xu and Z

Reference 26

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:85b8292b1c9ea8917c585dc51d2a4a64088dcd4194045695cf9659fd740fbb82

Observation fca9edf4-bcff-4638-8f34-9a1fcf1c2f1c · outbound

This paper cites an unresolved cited work.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Unresolved cited work

Reference 27

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:e703a92f28070d1028782e40bde619b33e0b5e823c640b88511aa6bac23200f4

Observation 3017dda8-0a3d-461a-93de-eff187a33923 · outbound

This paper cites an unresolved cited work.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Unresolved cited work

Reference 28

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no resolver link, observed 2026-07-13T06:59:08.445954Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:bac203cb2d23aceafa67bf75a3e018682ef667d6cfe5d3198e7f440da75bc712

Observation b9edb059-16fa-4afd-b618-f84dccde133c · outbound

This paper cites Yang and Q.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Yang and Q

Reference 29

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:71421a830a9d6aa07b7621f3f75261921aadb7e49f7959a8800d66718ada0e17

Observation d91c365c-ad82-4dc1-aba8-5473b6ce54f6 · outbound

This paper cites an unresolved cited work.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Unresolved cited work

Reference 30

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unresolved
no resolver link, observed 2026-07-13T06:59:08.445954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:df5cbe942972d82c5abfce9740c4d8af158681faf477eaafb701d420ff67daf8

Observation b571b265-f00f-43dd-8afe-18d0f7aa9c54 · outbound

This paper cites an unresolved cited work.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Unresolved cited work

Reference 31

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unresolved
no resolver link, observed 2026-07-13T06:59:08.445954Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:8c90203e2012d860e563b299be28bf4ee903651a4b523f6d85f9fdbcd621f0b2

Observation 0d4e884b-a231-4ed9-96e3-8c531b465977 · outbound

This paper cites an unresolved cited work.

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures Unresolved cited work

Reference 32

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unresolved
no resolver link, observed 2026-07-13T06:59:08.445954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:705cbef0ba734f1d13331d52e60371410c6995eb9fd0cfd81edeaa6062543555

Observation 72a1e567-0666-4197-929f-a8ff7b9dd074 · outbound

This paper cites A.1.The negativity onU 1.Recall the change of variables introduced in (4.27).

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures A.1.The negativity onU 1.Recall the change of variables introduced in (4.27)

Reference 33

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T06:59:08.445954Z digest=sha256:c10fd4c3d1b28041a1424e8e6b7a857b7cae2f7d5924b491a7d37a9e9ec2f200

Pith citing papers

Observation 3b511e3b-a08b-48bb-bc53-9d112b751a7f · inbound

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres cites this paper.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures

Reference 10

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unresolved
no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T09:38:39.136468Z digest=sha256:57d0f32add1cc45186e2e039939ff5cfbba231c550033d49a3c4a20bfec8da16

Observation 3042ecb9-d1f6-4d3d-ac10-55f7f59f5590 · inbound

A curvature characterization of the Cartan minimal hypersurface in $\mathbb S^5$ cites this paper.

A curvature characterization of the Cartan minimal hypersurface in $\mathbb S^5$ Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures

Reference 7

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unresolved
no resolver link, observed 2026-07-14T08:57:25.089348Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T08:57:25.089348Z digest=sha256:9ffb9f83d3f9b7d8cbf513f7d9db1009ded0b5486cabf4338632f3b6434d153e

Observation 9ff9175e-7a83-4434-b929-a69eb6a355dd · inbound

Lu's conjecture for minimal surfaces in codimension two cites this paper.

Lu's conjecture for minimal surfaces in codimension two Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures

Reference 6

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unresolved
no resolver link, observed 2026-08-01T08:01:04.669241Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:01:04.669241Z digest=sha256:7fbcaf846c419082b99ed20773ca641a18cc356f75e6fea95374c2974fdc53aa

Observation 26ea81bd-c185-48d2-afbd-ad1481a6fe6d · inbound

Lu's conjecture for minimal surfaces in codimension two cites this paper.

Lu's conjecture for minimal surfaces in codimension two Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T02:03:27.695555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.695555Z digest=sha256:902af1f8d208ffa22ece46820304dc52751f00f7c2161826eed43bb7b0d57857