Compact hypersurfaces in a unit sphere

DOI10.1017/S0308210500004303zbMath1091.53037OpenAlexW2040887405MaRDI QIDQ3367527

Shichang Shu, Qing-Ming Cheng, Young Jin Suh

Publication date: 24 January 2006

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500004303

zbMATH Keywords

principal curvaturessquared norm of the second fundamental form

Mathematics Subject Classification ID

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

Related Items (5)

Complete hypersurfaces with constant scalar curvature in spheres ⋮ Submanifolds with constant scalar curvature in a unit sphere ⋮ First eigenvalue of a Jacobi operator of hypersurfaces with a constant scalar curvature ⋮ Hypersurfaces with nonzero constant Gauss-Kronecker curvature in \(M^{n+1}(\pm1)\) ⋮ Minimal hypersurfaces in a nearly Kaehler 6-sphere

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