Structure of accessibility classes
Copyright policy )Structure of accessibility classes
In this work we deal with partially hyperbolic diffeomorphisms whose central direction is two dimensional. We prove that in general the accessibility classes are immersed manifolds. If, furthermore, the diffeomorphism is dynamically coherent and satisfies certain bunching condition, then the accessibility classes are $C^{1}$ immersed manifolds.
Accepted in DCDS. Some improvements suggested by the referees were added
Dynamical systems with hyperbolic orbits and sets, Dynamical systems involving smooth mappings and diffeomorphisms, FOS: Mathematics, Dynamical Systems (math.DS), Invariant manifold theory for dynamical systems, Mathematics - Dynamical Systems, 37D30(37A25, 37C05, 57R30), Partially hyperbolic systems and dominated splittings, stable ergodicity, accessibility, partially hyperbolic diffeomorphisms
Dynamical systems with hyperbolic orbits and sets, Dynamical systems involving smooth mappings and diffeomorphisms, FOS: Mathematics, Dynamical Systems (math.DS), Invariant manifold theory for dynamical systems, Mathematics - Dynamical Systems, 37D30(37A25, 37C05, 57R30), Partially hyperbolic systems and dominated splittings, stable ergodicity, accessibility, partially hyperbolic diffeomorphisms
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