Mañé’s Formula for Geodesic Flows and Convex Billiards
In this chapter we present a proof of Mañé’s formula for geodesic flows and convex billiards. The proof rests on the twist property of the vertical subbundle that we described in Chapter 2, Pesin’s theory which enters via Przytycki’s inequality and a very clever change of variables which is useful also in other situations (cf. Proposition 4.8).
KeywordsTopological Entropy Conjugate Point Geodesic Flow Positive Lebesgue Measure Lagrangian Subspace
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