Title: Smooth Models of Fibered Partially Hyperbolic Systems
Abstract: We will discuss the existence and construction of smooth models for certain fibered partially hyperbolic systems. Fibered partially hyperbolic systems are partially hyperbolic diffeomorphisms that have an integrable center bundle, tangent to a continuous invariant fibration by invariant submanifolds. We will show that if the homological minimum expansion on the base dominates the distortion on the fibers, a fibered partially hyperbolic system over a nilmanifold can be homotoped to a smooth model that descends to a hyperbolic nilmanifold automorphism on the base. We also will discuss obstructions to smoothly lifting Anosov diffeomorphisms to bundles. This is joint work with Jonathan DeWitt and Oliver Wang.
Bryna Kra
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