Integral geometry and geometric inequalities in hyperbolic space

DOI10.1016/j.difgeo.2005.01.006zbMath1077.52010OpenAlexW2053773218WikidataQ115357981 ScholiaQ115357981MaRDI QIDQ558084

Eduardo Gallego, Gil Solanes

Publication date: 30 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2005.01.006

zbMATH Keywords

volumehyperbolic spaceconvex setquermassintegralmean curvature integrals

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Integral geometry (53C65) Spherical and hyperbolic convexity (52A55)

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Cites Work

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• 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
• Comparison theorems on convex hypersurfaces in Hadamard manifolds
• Relation between area and volume for \(\lambda\)-convex sets in Hadamard manifolds

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