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arxiv: 1304.1069 · v2 · pith:MOULSXJInew · submitted 2013-04-03 · 🧮 math.DS

The C0 general density theorem for geodesic flows

classification 🧮 math.DS
keywords geodesicflowsclosedcontinuousdensityresidualsubsettheorem
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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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