BooksirmaCollected VolumeHandbook of Hilbert GeometryEditorsAthanase PapadopoulosUniversité de Strasbourg, FranceMarc TroyanovÉcole Polytechnique Fédérale de Lausanne, SwitzerlandOverviewContentsBuy from $85.00Download PDFA subscription is required to access this book.pp. 11–32Weak Minkowski spacesAthanase PapadopoulosMarc Troyanovpp. 33–67From Funk to Hilbert geometryAthanase PapadopoulosMarc Troyanovpp. 69–110Funk and Hilbert geometries from the Finslerian viewpointMarc Troyanovpp. 111–125On the Hilbert geometry of convex polytopesConstantin Vernicospp. 127–146The horofunction boundary and isometry group of the Hilbert geometryCormac Walshpp. 147–158Characterizations of hyperbolic geometry among Hilbert geometriesRen Guopp. 161–206The geodesic flow of Finsler and Hilbert geometriesMickaël Cramponpp. 207–261Around groups in Hilbert geometryLudovic Marquispp. 263–273Dynamics of Hilbert nonexpansive mapsAnders Karlssonpp. 275–303Birkhoff’s version of Hilbert’s metric and its applications in analysisBas LemmensRoger D. Nussbaumpp. 307–338Convex real projective structures and Hilbert metricsInkang KimAthanase Papadopoulospp. 339–352Weil–Petersson Funk metric on Teichmüller spaceHideki MiyachiKen’ichi OhshikaSumio Yamadapp. 353–379Funk and Hilbert geometries in spaces of constant curvatureAthanase PapadopoulosSumio Yamadapp. 383–389On the origin of Hilbert geometryMarc Troyanovpp. 391–431Hilbert’s fourth problemAthanase Papadopoulospp. 433–442Open problems
pp. 275–303Birkhoff’s version of Hilbert’s metric and its applications in analysisBas LemmensRoger D. Nussbaum
pp. 353–379Funk and Hilbert geometries in spaces of constant curvatureAthanase PapadopoulosSumio Yamada
