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arxiv: 1305.6058 · v1 · pith:TYNHRMHWnew · submitted 2013-05-26 · 🧮 math.DS

Closing geodesics in C¹ topology

classification 🧮 math.DS
keywords topologycloseclosedclosingflowgeodesicgeodesicsgiven
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Given a closed Riemannian manifold, we show how to close an orbit of the geodesic flow by a small perturbation of the metric in the $C^1$ topology.

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