Uniform (projective) hyperbolicity or no hyperbolicity: A dichotomy for generic conservative maps
نویسندگان
چکیده
منابع مشابه
Uniform (projective) Hyperbolicity or No Hyperbolicity: a Dichotomy for Generic Conservative Maps
– We show that the Lyapunov exponents of volume preserving C1 diffeomorphisms of a compact manifold are continuous at a given diffeomorphism if and only if the Oseledets splitting is either dominated or trivial. It follows that for a C1-residual subset of volume preserving diffeomorphisms the Oseledets splitting is either dominated or trivial. We obtain analogous results in the setting of sympl...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2002
ISSN: 0294-1449
DOI: 10.1016/s0294-1449(01)00094-4