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Horospheres and convex bodies in \(n\)-dimensional hyperbolic space

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Publication:1430023
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DOI10.1023/B:GEOM.0000013945.66390.cazbMath1062.52008OpenAlexW1978133869MaRDI QIDQ1430023

Antonio M. Naveira, Eduardo Gallego, Gil Solanes

Publication date: 27 May 2004

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:geom.0000013945.66390.ca


zbMATH Keywords

volumehyperbolic spaceconvex sethorocyclehorosphere\(h\)-convex set


Mathematics Subject Classification ID

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


Related Items (5)

Kinematic formulas of total mean curvatures for hypersurfaces ⋮ Reverse Faber-Krahn inequality for the \(p\)-Laplacian in hyperbolic space ⋮ Horo-tightness and total (absolute) curvatures in hyperbolic spaces ⋮ Isoperimetric type problems and Alexandrov-Fenchel type inequalities in the hyperbolic space ⋮ Integral geometry of equidistants in hyperbolic space




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