2008/06/18 by Rafaël Potrie, Rafael Potrie, Potrie, Rafael +3
Mathematics · #Advanced Differential Equations and Dynamical Systems #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions #math.DS #msc:37C20
paper · pdf · doi:10.48550/arxiv.0806.3036
12 pages, Some corrections
arxiv created 2009/11/10 · arxiv updated 2009/12/01
We study generic diffeomorphisms with a homoclinc class with non empty interior and in particular those admitting a codimension one dominated splitting. We prove that if in the finest dominated splitting the extreme subbundles are one dimensional then the diffeomorphism is partially hyperbolic and from this we deduce that the diffeomorphism is transitive.