On the generalized Chern conjecture for hypersurfaces with constant mean curvature in a sphere

DOI10.1007/S11425-020-1841-YzbMath1470.53046OpenAlexW3154113001WikidataQ113900260 ScholiaQ113900260MaRDI QIDQ2037802

Li Lei, Zhi-yuan Xu, Hong-Wei Xu

Publication date: 8 July 2021

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-020-1841-y

zbMATH Keywords

second fundamental formscalar curvaturerigidity theoremhypersurfaces with constant mean curvaturegeneralized Chern conjecture

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Rigidity results (53C24)

Related Items (3)

An optimal gap theorem for scalar curvature of CMC hypersurfaces in a sphere ⋮ A new gap for \textit{CMC} biharmonic hypersurfaces in Euclidean spheres ⋮ A lower bound for 𝐿₂ length of second fundamental form on minimal hypersurfaces

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