Genericity of geodesic flows with positive topological entropy on (2007)
Gonzalo Contreras-barandiarán, P. Paternain
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...
Genericity of Geodesic Flows with Positive Topological Entropy on S2 (2002)
Contreras-Barandiarán, Gonzalo, Paternain, Gabriel P.
We show that the set of C∞ Riemannian metrics on S2 or ℝP2 whose geodesic flow has positive topological entropy is open and dense in the C2 topology. The proof is partially based on an analogue...