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.
Publié le : 1998-07-05
Classification:
Dynamique des Homéomorphismes des Surfaces,
Bouts Premiers,
MSC : 58F22; 54H20,
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]
@article{hal-00003265,
author = {Kolev, Boris and P\'erou\`eme, Marie-Christine},
title = {Recurrent Surface Homeomorphisms},
journal = {HAL},
volume = {1998},
number = {0},
year = {1998},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00003265}
}