A translation of "The Geometry of the Group of Symplectic Diffeomorphisms"

Abstract

This book offers an introduction to Hofer's metric on the group of Hamiltonian diffeomorphisms. It presents results on the diameter, geodesics, and the growth of one-parameter subgroups, along with applications to dynamics and ergodic theory.

Russian translation of "The Geometry of the Group of Symplectic Diffeomorphisms" by Leonid Polterovich