Ergodicity of stable manifolds for nilpotent extensions of Anosov flows

Mark Pollicott

doi:10.3934/dcds.2002.8.599

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2002, Volume 8, Issue 3: 599-604. Doi: 10.3934/dcds.2002.8.599

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Ergodicity of stable manifolds for nilpotent extensions of Anosov flows

Mark Pollicott^1,

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

Revised: October 31, 2001

Published: June 2002

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Abstract

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.

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Mathematics Subject Classification: 14XX.

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