# Handbook of Hilbert Geometry

Share this page *Edited by *
*Athanase Papadopoulos; Marc Troyanov*

A publication of the European Mathematical Society

This volume presents surveys, written by experts in the field, on
various classical and modern aspects of Hilbert geometry. They
assume 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.

This book is addressed to both students who want to learn the
theory and researchers in this area.

A publication of the European Mathematical Society. Distributed within the Americas by the American Mathematical Society.

#### Readership

Graduate students and research mathematicians interested in Hilbert geometry.