Recurrent Surface Homeomorphisms
Dynamical Systems
2009-11-10 v3
Abstract
An orientation-preserving recurrent homeomorphism of the two-sphere which is not the identity is shown to admit exactly two fixed points. A recurrent homeomorphism of a compact surface with negative Euler characteristic is periodic.
Cite
@article{arxiv.math/0303258,
title = {Recurrent Surface Homeomorphisms},
author = {Boris Kolev and Marie-Christine Peroueme},
journal= {arXiv preprint arXiv:math/0303258},
year = {2009}
}
Comments
10 pages LaTeX; fixed some references