Minimal hypersurfaces of unit sphere

DOI10.2748/tmj/1178225113zbMath0938.53029OpenAlexW2090636363MaRDI QIDQ1384453

Koichi Ogiue, Hua Fei Sun

Publication date: 14 June 2000

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225113

zbMATH Keywords

Clifford torusisoparametric hypersurfacesconstant scalar curvaturelength of the second fundamental formminimal hypersurface of a sphere

Mathematics Subject Classification ID

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

Cites Work

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• The scalar curvature of minimal hypersurfaces in spheres
• The rigidity of Clifford torus \(S^ 1(\sqrt{\frac1n})\times S^{n-1}(\sqrt{\frac{n-1}n})\)
• Local rigidity theorems for minimal hypersurfaces
• Minimal varieties in Riemannian manifolds
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length