Conservative surface homeomorphisms with finitely many periodic points
Dynamical Systems
2020-08-04 v1
Abstract
The goal of the article is to characterize the conservative homeomorphisms of a closed orientable surface of genus , that have finitely many periodic points. By conservative, we mean a map with no wandering point. As a particular case, when is furnished with a symplectic form, we characterize the symplectic diffeomorphisms of with finitely many periodic points.
Cite
@article{arxiv.2008.00306,
title = {Conservative surface homeomorphisms with finitely many periodic points},
author = {Patrice Le Calvez},
journal= {arXiv preprint arXiv:2008.00306},
year = {2020}
}
Comments
33 pages