| Genericity of geodesic flows with positive topological entropy on (2007) | |||||||||||||||
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| Abstract. We show that the set of C ∞ riemannian metrics on S 2 or RP 2 whose geodesic flow has positive topological entropy is open and dense in the C 2 topology. The proof is partially based on an analogue of Franks ’ lemma for geodesic flows on surfaces. To the memory of Michel Herman 1. | |||||||||||||||
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