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The aim of this paper is to state and prove a polynomial analogue of the classical Manning inequality, relating the topological entropy of a geodesic flow with the growth rate of the volume of balls in the universal cove...
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As we have proved in [11], the geodesic flows associated with the flat metrics on T 2 minimize the polynomial entropy h pol. In this paper, we show that, among the geodesic flows that are Bott integrable and dynamically ...