CONSTANT MEAN CURVATURE HYPERSURFACES IN SPHERES

DOI10.1017/S001708951100036XzbMath1248.53044OpenAlexW2329991514MaRDI QIDQ3116836

Qintao Deng, Yan-Hui Su, Hui-Ling Gu

Publication date: 12 February 2012

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s001708951100036x

Mathematics Subject Classification ID

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

Related Items (1)

A new characterization of the Clifford torus via scalar curvature pinching

Cites Work

• A closed hypersurface with constant scalar and mean curvatures in \(\mathbb{S}^ 4\) is isoparametric
• An estimate of the pinching constant of minimal hypersurfaces with constant scalar curvature in the unit sphere
• Chern's conjecture on minimal hypersurfaces
• The scalar curvature of minimal hypersurfaces in spheres
• Closed hypersurfaces of \(\mathbb S^{4}\) with two constant curvature functions
• Local rigidity theorems for minimal hypersurfaces
• Minimal varieties in Riemannian manifolds
• Closed minimal Willmore hypersurfaces of \(\mathbb S ^5 (1)\) with constant scalar curvature
• Closed 3-dimensional hypersurfaces with constant mean curvature and constant scalar curvature
• Sur des familles remarquables d'hypersurfaces isoparametriques dans les espaces spheriques
• The pinching constant of minimal hypersurfaces in the unit spheres
• SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN A SPHERE
• THE SCALAR CURVATURE OF MINIMAL HYPERSURFACES IN A UNIT SPHERE
• Scalar curvature of minimal hypersurfaces in a sphere

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