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Some ergodic properties of commuting diffeomorphisms

Published online by Cambridge University Press:  19 September 2008

Huyi Hu
Huyi Hu
Affiliation:
Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA
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Abstract

For a smooth ℤ2-action on a C∞ compact Riemannian manifold M, we discuss its ergodic properties which include the decomposition of the tangent space of M into subspaces related to Lyapunov exponents, the existence of Lyapunov charts, and the subadditivity of entropies.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 13 , Issue 1 , March 1993 , pp. 73 - 100
Copyright
Copyright © Cambridge University Press 1993

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