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Every compact manifold carries a completely hyperbolic diffeomorphism

Published online by Cambridge University Press:  07 May 2002

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)

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.

Type
Research Article
Copyright
2002 Cambridge University Press

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