Isometries of two dimensional Hilbert geometries

DOI10.4171/LEM/61-3/4-7zbMath1362.51005arXiv1409.5611MaRDI QIDQ330033

Vladimir S. Matveev, Marc Troyanov

Publication date: 24 October 2016

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

Full work available at URL: https://arxiv.org/abs/1409.5611

zbMATH Keywords

isometry groupHilbert geometry

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Congruence and orthogonality in metric geometry (51F20)

Related Items (6)

Differentiability of projective transformations in dimension 2 ⋮ Gauge-reversing maps on cones, and Hilbert and Thompson isometries ⋮ Hilbert and Thompson geometries isometric to infinite-dimensional Banach spaces ⋮ Isometries of infinite dimensional Hilbert geometries ⋮ Hilbert and Thompson isometries on cones in JB-algebras ⋮ Hilbert isometries and maximal deviation preserving maps on JB-algebras

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