Polynomial global product structure

Andy Hammerlindl
2014 Proceedings of the American Mathematical Society  
An Anosov diffeomorphism is topologically conjugate to an infranilmanifold automorphism if and only if it has polynomial Global Product Structure. 4297 License or copyright restrictions may apply to redistribution; see https://www.ams.org/journal-terms-of-use 4298 ANDY HAMMERLINDL Theorem 1.3. For a (strongly) partially hyperbolic diffeomorphism on a 3-manifold M , the stable, center, and unstable foliations exist and are quasi-isometric if and only if M is finitely covered by the 3-torus. 2.
more » ... osov systems Definition. Consider a diffeomorphism f on a compact Riemannian manifold M with a • If E c is the zero bundle, then f is called Anosov. • If exactly one of E s and E u is the zero bundle, then f is called weakly partially hyperbolic. • If all three subbundles are non-zero, then f is called strongly partially hyperbolic.
doi:10.1090/s0002-9939-2014-12255-6 fatcat:v7ayvuwa6reqhbh363l57nzuka