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

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