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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… Click to show full 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.
Keywords:
modelled expansive;
expansive flows;
flows modelled;
geodesic flows;
flow
Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2018
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Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!