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Conservative surface homeomorphisms with finitely many periodic points

Abstract : 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.
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Submitted on : Tuesday, May 10, 2022 - 3:38:46 PM
Last modification on : Wednesday, May 11, 2022 - 3:48:16 AM

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

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