On the number of periodic geodesics in rank 1 surfaces

Published 24 Jun 2016 in math.DS | (1606.07771v1)

Abstract: We consider the geodesic flow of a compact connected rank 1 surface. We prove a formula for the topological pressure as the exponential growth rate of rank 1 periodic geodesics generalizing a previous result of K. Gelfert and B. Schapira [12].

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Abdelhamid Amroun

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