Geodesic flows modeled by expansive flows

Published 21 Mar 2017 in math.DS | (1703.07455v2)

Abstract: Given a smooth compact surface without focal points and of higher genus, it is shown that its geodesic flow is semi-conjugate to a continuous expansive flow with a local product structure such that the semi-conjugation preserves time-parametrization. It is concluded that the geodesic flow has a unique measure of maximal entropy.

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