American Institute of Mathematical Sciences

July  2002, 8(3): 599-604. doi: 10.3934/dcds.2002.8.599

Ergodicity of stable manifolds for nilpotent extensions of Anosov flows

 1 Department of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, United Kingdom

Revised  November 2001 Published  April 2002

In this paper we show ergodicity of the strong stable foliations for nilpotent extensions of transitive Anosov flows with respect to the lift of the Gibbs measure for any Hölder continuous function.
Citation: Mark Pollicott. Ergodicity of stable manifolds for nilpotent extensions of Anosov flows. Discrete & Continuous Dynamical Systems - A, 2002, 8 (3) : 599-604. doi: 10.3934/dcds.2002.8.599
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