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Résumé :
Rigidité des caractéristiques en géométrie symplectique
Cet article porte sur un résultat de rigidité C^0 du feuilletage caractéristique en géométrie symplectique. Un homéomorphisme symplectique (au sens d'Eliashberg-Gromov) qui préserve une hypersurface lisse préserve également son feuilletage caractéristique.

Mots-clefs : Géometrie symplectique

Abstract:
The paper concerns a C^0 -rigidity result for the characteristic foliations in symplectic geometry. A symplectic homeomorphism (in the sense of Eliashberg-Gromov) which preserves a smooth hypersurface also preserves its characteristic foliation.

Keywords: Symplectic geometry

Class. math. : 53D05, 57R17

ISSN : 0012-9593
Publié avec le concours de : Centre National de la Recherche Scientifique

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