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arxiv: 1008.3683 · v3 · pith:MQY3TAYXnew · submitted 2010-08-22 · 🧮 math.HO · math.DG

Chern conjecture and isoparametric hypersurfaces

Jianquan Ge , Zizhou Tang This is my paper
classification 🧮 math.HO math.DG
keywords chernconjecturehypersurfacesisoparametricapplicationsaspectsimportantinteractions
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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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  1. Topological and rigidity results for four-dimensional hypersurfaces in space forms

    math.DG 2026-03 unverdicted novelty 7.0

    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...