Abstract
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.
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.
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