Relation between area and volume for \(\lambda\)-convex sets in Hadamard manifolds

DOI10.1016/S0926-2245(01)00045-6zbMath0981.52006WikidataQ115338291 ScholiaQ115338291MaRDI QIDQ5946128

Eduardo Gallego, Alexander A. Borisenko, Agusti Reventos

Publication date: 18 March 2002

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

volumehyperbolic spacehorocycleHadamard manifold\(\lambda\)-convex set\(\lambda\)-geodesicnormal curvature

Mathematics Subject Classification ID

Spherical and hyperbolic convexity (52A55) Convex sets in (2) dimensions (including convex curves) (52A10)

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Cites Work

• Asymptotic behavior of convex sets in the hyperbolic plane
• Total curvatures of convex hypersurfaces in hyperbolic space
• Asymptotic behaviour of \(\lambda\)-convex sets in the hyperbolic plane
• Isoperimetric constants and the first eigenvalue of a compact riemannian manifold
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