On the total curvature of convex hypersurfaces in hyperbolic spaces

DOI10.1090/S0002-9939-01-06101-9zbMath1058.53049OpenAlexW1507653175MaRDI QIDQ2759037

Albert Borbe'ly

Publication date: 10 December 2001

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06101-9

zbMATH Keywords

isoperimetric inequalityGauss-Kronecker curvaturetotal curvature

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

Rigidity of nonpositively curved manifolds with convex boundary ⋮ Total mean curvatures of Riemannian hypersurfaces ⋮ Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds

Cites Work

• A sharp four dimensional isoperimetric inequality
• An isoperimetric comparison theorem
• On the curvatura integra in a Riemannian manifold
• Unnamed Item

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