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Bernoulli diffeomorphisms with n − 1 non-zero exponents

Published online by Cambridge University Press:  19 September 2008

M. Brin
M. Brin*
Affiliation:
From the Department of Mathematics, University of Maryland, USA, and the Hebrew University of Jerusalem, Israel
*
†Dr M. Brin, Department of Mathematics, University of Maryland, College Park, Md 20742, USA.
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Abstract

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For every manifold of dimension n ≥ 5 a diffeomorphism f which has n − 1 non-zero characteristic exponents almost everywhere is constructed. The diffeomorphism preserves the Lebesgue measure and is Bernoulli with respect to this measure. To produce this example a diffeomorphism of the 2-disk is extended by means of an Anosov flow, and this skew product is embedded in ℝn.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 1 , Issue 1 , March 1981 , pp. 1 - 7
Copyright
Copyright © Cambridge University Press 1981

References

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