Recurrent Surface Homeomorphisms

Boris Kolev (1) , Marie-Christine Pérouème

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités

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.

Mots clés: Dynamique des Homéomorphismes des Surfaces; Bouts Premiers

Domaines: Systèmes dynamiques [math.DS]

Boris Kolev, Marie-Christine Pérouème. Recurrent Surface Homeomorphisms. Mathematical Proceedings of the Cambridge Philosophical Society, 1998, 124, pp.161-168. ⟨10.1017/S0305004197002272⟩. ⟨hal-00003265⟩