Genericity of Geodesic Flows with Positive Topological Entropy on S2
Contreras-Barandiarán, Gonzalo ; Paternain, Gabriel P.
J. Differential Geom., Tome 60 (2002) no. 1, p. 1-49 / Harvested from Project Euclid
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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 of Franks' lemma for geodesic flows on surfaces.
Publié le : 2002-05-14
Classification:  
@article{1090351319,
     author = {Contreras-Barandiar\'an, Gonzalo and Paternain, Gabriel P.},
     title = {Genericity of Geodesic Flows with Positive Topological Entropy on S<sup>2</sup>},
     journal = {J. Differential Geom.},
     volume = {60},
     number = {1},
     year = {2002},
     pages = { 1-49},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1090351319}
}

Contreras-Barandiarán, Gonzalo; Paternain, Gabriel P. Genericity of Geodesic Flows with Positive Topological Entropy on S2. J. Differential Geom., Tome 60 (2002) no. 1, pp.  1-49. http://gdmltest.u-ga.fr/item/1090351319/