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Handbook of Hilbert Geometry

Papadopoulos, Athanase,

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Handbook of Hilbert Geometry

Record Type:	Electronic resources : Monograph/item
Title/Author:	Handbook of Hilbert Geometry/ Athanase Papadopoulos, Marc Troyanov
other author:	Papadopoulos, Athanase,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2014,
Description:	1 online resource (460 pages)
Subject:	Differential & Riemannian geometry -
Online resource:	https://doi.org/10.4171/147
Online resource:	https://www.ems-ph.org/img/books/irma22_mini.gif
ISBN:	9783037196472

Handbook of Hilbert Geometry
Handbook of Hilbert Geometry[electronic resource] /Athanase Papadopoulos, Marc Troyanov - Zuerich, Switzerland :European Mathematical Society Publishing House,2014 - 1 online resource (460 pages) - IRMA Lectures in Mathematics and Theoretical Physics (IRMA) ;222523-5133 ;.

Weak Minkowski spaces /Athanase Papadopoulos, Marc Troyanov --

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

This volume presents surveys, written by experts in the field, on various classical and the modern aspects of Hilbert geometry. They are assuming several points of view: Finsler geometry, calculus of variations, projective geometry, dynamical systems, and others. Some fruitful relations between Hilbert geometry and other subjects in mathematics are emphasized, including Teichmüller spaces, convexity theory, Perron-Frobenius theory, representation theory, partial differential equations, coarse geometry, ergodic theory, algebraic groups, Coxeter groups, geometric group theory, Lie groups and discrete group actions. The Handbook is addressed to both students who want to learn the theory and researchers working in the area.

ISBN: 9783037196472

Standard No.: 10.4171/147doiSubjects--Topical Terms:

3480810
Differential & Riemannian geometry

Handbook of Hilbert Geometry
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505 0 0 $t Weak Minkowski spaces / $r Athanase Papadopoulos, Marc Troyanov -- $t From Funk to Hilbert geometry / $r Athanase Papadopoulos, Marc Troyanov -- $t Funk and Hilbert geometries from the Finslerian viewpoint / $r Marc Troyanov -- $t On the Hilbert geometry of convex polytopes / $r Constantin Vernicos -- $t The horofunction boundary and isometry group of the Hilbert geometry / $r Cormac Walsh -- $t Characterizations of hyperbolic geometry among Hilbert geometries / $r Ren Guo -- $t Around groups in Hilbert geometry / $r Ludovic Marquis -- $t The geodesic flow of Finsler and Hilbert geometries / $r Mickaël Crampon -- $t Dynamics of Hilbert nonexpansive maps / $r Anders Karlsson -- $t Birkhoff's version of Hilbert's metric and its applications in analysis / $r Bas Lemmens, Roger D. Nussbaum -- $t Convex real projective structures and Hilbert metrics / $r Inkang Kim, Athanase Papadopoulos -- $t Weil-Petersson Funk metric on Teichmüller space / $r Hideki Miyachi, Ken'ichi Ohshika, Sumio Yamada -- $t Funk and Hilbert geometries in spaces of constant curvature / $r Athanase Papadopoulos, Sumio Yamada -- $t On the origin of Hilbert geometry / $r Marc Troyanov -- $t Hilbert's fourth problem / $r Athanase Papadopoulos -- $t Open problems.
506 1 $a Restricted to subscribers: $u https://www.ems-ph.org/ebooks.php
520 $a This volume presents surveys, written by experts in the field, on various classical and the modern aspects of Hilbert geometry. They are assuming several points of view: Finsler geometry, calculus of variations, projective geometry, dynamical systems, and others. Some fruitful relations between Hilbert geometry and other subjects in mathematics are emphasized, including Teichmüller spaces, convexity theory, Perron-Frobenius theory, representation theory, partial differential equations, coarse geometry, ergodic theory, algebraic groups, Coxeter groups, geometric group theory, Lie groups and discrete group actions. The Handbook is addressed to both students who want to learn the theory and researchers working in the area.
650 0 7 $a Differential & Riemannian geometry $2 bicssc $3 3480810
650 0 7 $a Differential geometry $2 msc $3 3480811
650 0 7 $a Geometry $3 703106
650 0 7 $a Convex and discrete geometry $2 msc $3 3480847
650 0 7 $a Global analysis, analysis on manifolds $2 msc $3 3480808
700 1 $a Papadopoulos, Athanase, $e editor. $3 3480884
700 1 $a Troyanov, Marc, $e editor. $3 3481087
856 4 0 $u https://doi.org/10.4171/147
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