Geodesic
Geodesic flows with positive topological entropy, twist maps and hyperbolicity
Gonzalo Contreras1
1 CIMAT, P.O. Box 402, 36.000 Guanajuato, GTO, México
Annals of mathematics, Tome 172 (2010) no. 2, pp. 761-808.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We prove a perturbation lemma for the derivative of geodesic flows in high dimension. This implies that a $C^2$ generic riemannian metric has a nontrivial hyperbolic basic set in its geodesic flow.
DOI : 10.4007/annals.2010.172.761

Gonzalo Contreras 1

1 CIMAT, P.O. Box 402, 36.000 Guanajuato, GTO, México 
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Gonzalo Contreras. Geodesic flows with positive topological entropy, twist maps and hyperbolicity. Annals of mathematics, Tome 172 (2010) no. 2, pp. 761-808. doi : 10.4007/annals.2010.172.761. http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.172.761/

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