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Une généralisation du théorème de Conley–Zehnder aux homéomorphismes du tore de dimension deux

Published online by Cambridge University Press:  17 April 2001

PATRICE LE CALVEZ
PATRICE LE CALVEZ
Affiliation:
Laboratoire Analyse, Géométrie et Applications, U.A. C.N.R.S. 742, Institut Galilée, Université Paris Nord, 93430 Villetaneuse, France
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Abstract

Let $F$ be an area-preserving homeomorphism of the two-dimensional torus homotopic to the identity and let $f$ be a lift to the plane which preserves the center of mass. We prove that $f$ has at least three fixed points whose images are distinct in the torus.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 17 , Issue 1 , February 1997 , pp. 71 - 86
Copyright
1997 Cambridge University Press

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