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arXiv · 1304.1069

The C0 general density theorem for geodesic flows

Mario Bessa·Maria Joana Torres
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Abstract

Given a closed Riemannian manifold, we prove the C0-general density theorem for continuous geodesic flows. More precisely, that there exists a residual (in the C0-sense) subset of the continuous geodesic flows such that, in that residual subset, the geodesic flow exhibits dense closed orbits.

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Mario Bessa, Maria Joana Torres. 2014-02-28. The C0 general density theorem for geodesic flows. https://arxiv.org/abs/1304.1069

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