The area of ideal triangles in Hilbert geometry

zbMath1079.53110arXivmath/0312163MaRDI QIDQ2565958

Bruno Colbois, Constantin Vernicos, Patrick Verovic

Publication date: 28 September 2005

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312163

zbMATH Keywords

Hilbert geometryideal triangles

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Rigidity results (53C24) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (14)

Marked moduli space of finite-volume convex projective surfaces ⋮ Hyperbolic convexes and quasiisometries. ⋮ The area of convex projective surfaces and Fock–Goncharov coordinates ⋮ Finite volume convex projective surface ⋮ Two properties of volume growth entropy in Hilbert geometry ⋮ Geometrical finiteness in Hilbert geometry ⋮ The Hilbert area of inscribed triangles and quadrilaterals ⋮ Entropy rigidity and Hilbert volume ⋮ What is wrong with the Hausdorff measure in Finsler spaces ⋮ Degeneration of strictly convex real projective structures on surfaces ⋮ Area of ideal triangles and Gromov hyperbolicity in Hilbert geometry ⋮ Properly convex bending of hyperbolic manifolds ⋮ On the Hilbert geometry of products ⋮ Bas du spectre et delta-hyperbolicité en géométrie de Hilbert plane

This page was built for publication: The area of ideal triangles in Hilbert geometry