Asymptotics of convex sets in Euclidean and hyperbolic spaces

DOI10.1016/j.aim.2008.11.014zbMath1180.52008OpenAlexW2049128690WikidataQ56765723 ScholiaQ56765723MaRDI QIDQ1002243

Igor Rivin

Publication date: 25 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.aim.2008.11.014

zbMATH Keywords

hyperbolic spaceMinkowski dimensionDvoretzky's theorem

Mathematics Subject Classification ID

Spherical and hyperbolic convexity (52A55) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (1)

Convex hulls in the hyperbolic space

Cites Work

• Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
• A positive solution to the Busemann-Petty problem in \(\mathbb{R}^4\)
• Euclidean structures on simplicial surfaces and hyperbolic volume
• The Busemann--Petty problem via spherical harmonics.
• Hilbert geometry for strictly convex domains
• A positive answer to the Busemann-Petty problem in three dimensions
• A geometric inequality and a low 𝑀-estimate
• Infinitesimal Aspects of the Busemann-Petty Problem
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