Ergodic Theory and Dynamical Systems



Every compact manifold carries a completely hyperbolic diffeomorphism


DMITRY DOLGOPYAT a1 and YAKOV PESIN a1
a1 Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA (e-mail: {dolgop,pesin}@math.psu.edu)

Abstract

We show that a smooth compact Riemannian manifold of dimension greater than or equal to 2 admits a Bernoulli diffeomorphism with non-zero Lyapunov exponents.

(Received April 25 2001)
(Revised October 17 2001)