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

Leonid Polterovich

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arXiv · 2510.21856

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

Leonid Polterovich

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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.

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Leonid Polterovich. 2025-10-23. A translation of "The Geometry of the Group of Symplectic Diffeomorphisms". https://arxiv.org/abs/2510.21856

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