Existence and smoothness of the stable foliation for sectional hyperbolic attractors
Existence and smoothness of the stable foliation for sectional hyperbolic attractors
We prove the existence of a contracting invariant topological foliation in a full neighbourhood for partially hyperbolic attractors. Under certain bunching conditions, it can then be shown that this stable foliation is smooth. Specialising to sectional hyperbolic attractors, we give a verifiable condition for bunching. In particular, we show that …