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𝒞 0 -rigidity of characteristics in symplectic geometry

Emmanuel Opshtein — 2009

Annales scientifiques de l'École Normale Supérieure

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.

A Wong-Rosay type theorem for proper holomorphic self-maps

Emmanuel Opshtein — 2010

Annales de la faculté des sciences de Toulouse Mathématiques

In this short paper, we show that the only proper holomorphic self-maps of bounded domains in ℂ k whose iterates approach a strictly pseudoconvex point of the boundary are automorphisms of the euclidean ball. This is a Wong-Rosay type theorem for a sequence of maps whose degrees are unbounded.

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