Partial hyperbolicity for symplectic diffeomorphisms
نویسندگان
چکیده
منابع مشابه
C-Generic Symplectic Diffeomorphisms: Partial Hyperbolicity and Lyapunov Exponents
It is proven that for a C-generic symplectic diffeomorphism f of any closed manifold, the Oseledets splitting along almost every orbit is either trivial or partially hyperbolic. In addition, if f is not Anosov then all the exponents in the center bundle vanish. This establishes in full a result announced by Mañé in the ICM 1983. The main technical novelty is a probabilistic method for the const...
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It is proven that for a C-generic symplectic diffeomorphism f of any closed manifold, the Oseledets splitting along almost every orbit is either trivial or partially hyperbolic. In addition, if f is not Anosov then all the exponents in the center bundle vanish. This establishes in full a result announced by Mañé in the ICM 1983. The main technical novelty is a probabilistic method for the const...
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We prove that if f is a C-generic symplectic diffeomorphism then the Oseledets splitting along almost every orbit is either trivial or partially hyperbolic. In addition, if f is not Anosov then all the exponents in the center bundle vanish. This establishes in full a result announced byR.Mañé in the ICM 1983. The main technical novelty is a probabilistic method for the construction of perturbat...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2006
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2005.06.002