First stability eigenvalue characterization of Clifford hypersurfaces

DOI10.1090/S0002-9939-02-06451-1zbMath1014.53036OpenAlexW1701933166MaRDI QIDQ4539858

Oscar M. Perdomo

Publication date: 11 July 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06451-1

zbMATH Keywords

Laplacianunit sphereClifford toricompact minimal hypersurface

Mathematics Subject Classification ID

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

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Cites Work

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• A first eigenvalue estimate for minimal hypersurfaces
• Minimal hypersurfaces asymptotic to quadratic cones in \({\mathbb{R}}^{n+1}\)
• Some interior regularity theorems for minimal surfaces and an extension of Bernstein's theorem
• Local rigidity theorems for minimal hypersurfaces
• Minimal varieties in Riemannian manifolds
• Complete minimal surfaces in \(S^ 3\)
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length

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