A characterisation of compact minimal hypersurfaces in a unit sphere

DOI10.1017/S0004972700012442zbMath0780.53041OpenAlexW2054530059MaRDI QIDQ5288100

Qing-Ming Cheng

Publication date: 2 February 1994

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700012442

zbMATH Keywords

Clifford torusRicci curvatureconstant scalar curvatureminimal hypersurfacesCartan hypersurfacetotally geodesic sphere

Mathematics Subject Classification ID

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

Cites Work

• Closed 3-dimensional hypersurfaces with constant mean curvature and constant scalar curvature
• Harmonic functions on complete riemannian manifolds
• Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor
• Submanifolds with Constant Mean Curvature II
• On compact minimal hypersurfaces in a sphere with constant scalar curvature

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