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Structure of accessibility classes

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arxiv 1706.01156 v4 pith:LFVWYUBK submitted 2017-06-04 math.DS

Jana Rodriguez-Hertz , Carlos H. Vásquez This is my paper · ORCID
classification math.DS
keywords accessibilityclassesimmersedmanifoldsbunchingcentralcertaincoherent
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abstract

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.

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