The paper gives a complete Weyl tensor description for 4D hypersurfaces yielding a new isoparametric characterization, plus sharp Euler-characteristic bounds on the Weyl functional and second fundamental form norm for minimal constant-scalar-curvature cases in space forms.
Chern conjecture and isoparametric hypersurfaces
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abstract
In this note we will review the most important results and questions related to Chern conjecture and isoparametric hypersurfaces, as well as their interactions and applications to various aspects in mathematics.
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math.DG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Topological and rigidity results for four-dimensional hypersurfaces in space forms
The paper gives a complete Weyl tensor description for 4D hypersurfaces yielding a new isoparametric characterization, plus sharp Euler-characteristic bounds on the Weyl functional and second fundamental form norm for minimal constant-scalar-curvature cases in space forms.