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Geodesic Flows Modelled by Expansive Flows

Katrin Gelfert, Rafael O. Ruggiero

Source record

Source: Crossref

Published: Aug 28, 2018

DOI: 10.1017/s0013091518000160

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Source abstract

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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Geodesic Flows Modelled by Expansive Flows — Mathematical Frontier Network