Hypersurfaces in spheres with finite total curvature

DOI10.1007/s00025-019-1082-zzbMath1446.53047OpenAlexW2965544018MaRDI QIDQ2274922

Yanyan Li

Publication date: 1 October 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-019-1082-z

zbMATH Keywords

total curvaturehypersurfaces in spheresreduced \(L^2\)-cohomology

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items (1)

Characterizing small spheres in a unit sphere by Fischer-Marsden equation

Cites Work

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• \(L^2\)-cohomology and Sobolev inequalities
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• Global properties of minimal surfaces in \(E^ 3\) and \(E^ n\)
• Complete minimal surfaces in Euclidean \(n\)-spaces
• On the Sobolev constant and the $p$-spectrum of a compact riemannian manifold
• On reduced L2 cohomology of hypersurfaces in spheres with finite total curvature

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