Quelques plats pour la m\'etrique de Hofer
Differential Geometry
2008-09-09 v3 Group Theory
Geometric Topology
Symplectic Geometry
Abstract
We show, by an elementary and explicit construction, that the group of Hamiltonian diffeomorphisms of certain symplectic manifolds, endowed with Hofer's metric, contains subgroups quasi-isometric to Euclidean spaces of arbitrary dimension.
Cite
@article{arxiv.0704.2524,
title = {Quelques plats pour la m\'etrique de Hofer},
author = {Pierre Py},
journal= {arXiv preprint arXiv:0704.2524},
year = {2008}
}
Comments
9 pages, minor changes