Structure of accessibility classes

Abstract

<p style='text-indent:20px;'>In this work we deal with dynamically coherent partially hyperbolic diffeomorphisms whose central direction is two dimensional. We prove that in general the accessibility classes are topologically immersed manifolds. If, furthermore, the diffeomorphism satisfies certain bunching condition, then the accessibility classes are immersed <inline-formula><tex-math id="M1">\begin{document}$ C^{1} $\end{document}</tex-math></inline-formula>-manifolds.