Conservative surface homeomorphisms with finitely many periodic points

Patrice Le Calvez (1)

1 IMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche

The goal of the article is to characterize the conservative homeomorphisms of a closed orientable surface S of genus ≥2, that have finitely many periodic points. By conservative, we mean a map with no wandering point. As a particular case, when S is furnished with a symplectic form, we characterize the symplectic diffeomorphisms of S with finitely many periodic points.

Domaines: Mathématiques [math]

Patrice Le Calvez. Conservative surface homeomorphisms with finitely many periodic points. Journal of Fixed Point Theory and Applications, 2022, 24 (2), pp.20. ⟨10.1007/s11784-022-00936-x⟩. ⟨hal-03663956⟩