Abstract:
We prove that the time-1 map of a C^2, volume-preserving Anosov flow
on a compact 3-manifold, is stably ergodic if and only if the flow is not a (constant time) suspension of an Anosov diffeomorphism. In higher dimensions,
we prove that the time one map is stably ergodic under the assumption that
the strong stable and strong unstable foliations are not integrable.
This article has appeared in Topology 39 (2000), 149--159.
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Authors' addresses:
Keith Burns
Department of Mathematics
Northwestern University
Evanston, IL 60208-2730
Charles Pugh
Mathematics Department
University of California
Berkeley, CA 94720
Amie Wilkinson
Department of Mathematics
Northwestern University
Evanston, IL 60208-2730