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Hilbert geometries have bounded local geometry

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Publication:2372835
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DOI10.5802/aif.2297zbMath1123.53022arXivmath/0604461OpenAlexW1656571353MaRDI QIDQ2372835

Bruno Colbois, Constantin Vernicos

Publication date: 1 August 2007

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604461


zbMATH Keywords

local geometryhyperbolicityHilbert geometriesbottom of the spectrum


Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)


Related Items (3)

The relativity of color perception ⋮ On the Hilbert geometry of products ⋮ Lipschitz characterisation of polytopal Hilbert geometries



Cites Work

  • Unnamed Item
  • Embeddings of Gromov hyperbolic spaces
  • CHEEGER ISOPERIMETRIC CONSTANTS OF GROMOV-HYPERBOLIC SPACES WITH QUASI-POLES
  • Bas du spectre et delta-hyperbolicité en géométrie de Hilbert plane
  • Bilipschitz embeddings of metric spaces into space forms


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