Let $M$ be a Riemannian manifold and $\phi^t$ an Anosov flow on $M$. If $\phi^t$ is measure preserving (with respect to any Borel-measure on $M$), it is ergodic. Does anybody have a proof of that statement?
added top-level tag; https://meta.mathoverflow.net/questions/1457/why-are-mo-tags-formatted-as-they-are
Martin Sleziak
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