Handbook of Hilbert Geometry


Book details

Weak Minkowski spaces
Athanase Papadopoulos and Marc Troyanov
pp. 11–32
Abstract | Full-Text PDF (201 KB)

From Funk to Hilbert geometry
Athanase Papadopoulos and Marc Troyanov
pp. 33–67
Abstract | Full-Text PDF (420 KB)

Funk and Hilbert geometries from the Finslerian viewpoint
Marc Troyanov
pp. 69–110
Abstract | Full-Text PDF (342 KB)

On the Hilbert geometry of convex polytopes
Constantin Vernicos
pp. 111–125
Abstract | Full-Text PDF (322 KB)

The horofunction boundary and isometry group of the Hilbert geometry
Cormac Walsh
pp. 127–146
Abstract | Full-Text PDF (200 KB)

Characterizations of hyperbolic geometry among Hilbert geometries
Ren Guo
pp. 147–158
Abstract | Full-Text PDF (153 KB)

Around groups in Hilbert geometry
Ludovic Marquis
pp. 207–261
Abstract | Full-Text PDF (370 KB)

The geodesic flow of Finsler and Hilbert geometries
Mickaël Crampon
pp. 161–206
Abstract | Full-Text PDF (2383 KB)

Dynamics of Hilbert nonexpansive maps
Anders Karlsson
pp. 263–273
Abstract | Full-Text PDF (129 KB)

Birkhoff’s version of Hilbert’s metric and its applications in analysis
Bas Lemmens and Roger Nussbaum
pp. 275–303
Abstract | Full-Text PDF (270 KB)

Convex real projective structures and Hilbert metrics
Inkang Kim and Athanase Papadopoulos
pp. 307–338
Abstract | Full-Text PDF (263 KB)

Weil–Petersson Funk metric on Teichmüller space
Hideki Miyachi, Ken’ichi Ohshika and Sumio Yamada
pp. 339–352
Abstract | Full-Text PDF (171 KB)

Funk and Hilbert geometries in spaces of constant curvature
Athanase Papadopoulos and Sumio Yamada
pp. 353–379
Abstract | Full-Text PDF (233 KB)

On the origin of Hilbert geometry
Marc Troyanov
pp. 383–389
Abstract | Full-Text PDF (111 KB)

Hilbert’s fourth problem
Athanase Papadopoulos
pp. 391–431
Abstract | Full-Text PDF (967 KB)

Open problems
pp. 433–442
Abstract | Full-Text PDF (116 KB)

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