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Every compact manifold carries a completely hyperbolic diffeomorphism

Published online by Cambridge University Press:  07 May 2002

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

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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.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 22 , Issue 2 , April 2002 , pp. 409 - 435
Copyright
2002 Cambridge University Press