no. 5
𝒞 0 -rigidity of characteristics in symplectic geometry
[Rigidité 𝒞 0 des caractéristiques en géométrie symplectique]
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 42 (2009) no. 5, pp. 857-864.

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.

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.

DOI : 10.24033/asens.2111
Classification : 53D05, 57R17
Keywords: symplectic geometry
Mot clés : géometrie symplectique 
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     title = {$\mathcal {C}^0$-rigidity of characteristics in symplectic geometry},
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Opshtein, Emmanuel. $\mathcal {C}^0$-rigidity of characteristics in symplectic geometry. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 42 (2009) no. 5, pp. 857-864. doi : 10.24033/asens.2111. http://www.numdam.org/articles/10.24033/asens.2111/

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