On CMC hypersurfaces in \(\mathbb{S}^{n+1}\) with constant Gauß-Kronecker curvature

DOI10.1515/advgeom-2017-0054zbMath1391.53072OpenAlexW2790740904MaRDI QIDQ1747154

S. Weiss, Sebastião Carneiro de Almeida, Fabiano Gustavo Braga Brito, Mike Scherfner

Publication date: 4 May 2018

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom-2017-0054

zbMATH Keywords

isoparametric hypersurfaceChern conjectureCMC hypersurfaceconstant Gauß-Kronecker curvature

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (3)

A note on the Chern conjecture in dimension four ⋮ A lower bound for 𝐿₂ length of second fundamental form on minimal hypersurfaces ⋮ Hypersurfaces of a Sasakian manifold -- revisited

Cites Work

• Unnamed Item
• Complete hypersurfaces in a space form with three principal curvatures
• Correction of complete hypersurfaces in the space form with three principal curvatures
• Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature

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