Geodesic flows of compact higher genus surfaces without conjugate points have expansive factors (2309.08091v2)

Published 15 Sep 2023 in math.DS and math.DG

Abstract: In this paper we show that a geodesic flow of a compact surface without conjugate points of genus greater than one is time-preserving semi-conjugate to a continuous expansive flow which is topologically mixing and has a local product structure. As an application we show that the geodesic flow of a compact surface without conjugate points of genus greater than one has a unique measure of maximal entropy. This gives an alternative proof of Climenhaga-Knieper-War Theorem.

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Authors (1)

Edhin Franklin Mamani

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