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The C0 general density theorem for geodesic flows

Published 3 Apr 2013 in math.DS | (1304.1069v2)

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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