Handbook of Hilbert geometry
By: Athanase Papadopoulos, Marc Troyanov, editors
Series: IRMA lectures in mathematics and theoretical physics -- 22; IRMA lectures in mathematics and theoretical physics -- 22.
Publisher: European Mathematical Society
Published: 2014
Place of publication: Zürich
Language: eng
Number of pages: 452
ISBN-13: 9783037191477
Subjects: Geometry, Non-Euclidean
Notes: Includes bibliographical references and index.
Table of contents: title: Weak Minkowski spaces / by Athanase Papadopoulos and Marc Troyanov; title: From Funk to Hilbert geometry / by Athanase Papadopoulos and Marc Troyanov; title: Funk and Hilbert geometries from the Finslerian viewpoint / by Marc Troyanov; title: On the Hilbert geometry of convex polytopes / by Constantin Vernicos; title: The horofunction boundary and isometry group of the Hilbert geometry / by Cormac Walsh; title: Characterizations of hyperbolic geometry among Hilbert geometries / by Ren Guo; title: The geodesic flow of Finsler and Hilbert geometries / by Mickaël Crampon; title: Around groups in Hilbert geometry / by Ludovic Marquis; title: Dynamics of Hilbert nonexpansive maps / by Anders Karlsson; title: Birkhoff's version of Hilbert's metric and its applications in analysis / by Bas Lemmens and Roger Nussbaum; title: Convex real projective structures and Hilbert metrics / by Inkang Kim and Athanase Papadopoulos; title: Weil-Petersson Funk metric on Teichmüller space / by Hideki Miyachi, Ken'ichi Ohshika and Sumio Yamada; title: Funk and Hilbert geometries in spaces of constant curvature / by Athanase Papadopoulos and Sumio Yamada; title: On the origin of Hilbert geometry / by Marc Troyanov; title: Hilbert's fourth problem / by Athanase Papadopoulos; title: Open problems.