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arxiv: 2008.02249 · v2 · pith:URBKXZTDnew · submitted 2020-08-05 · 🧮 math.DS · math.DG

Closed geodesics on surfaces without conjugate points

classification 🧮 math.DS math.DG
keywords conjugatepointswithoutclosedgeodesicssurfacesasymptoticcertain
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We obtain Margulis-type asymptotic estimates for the number of free homotopy classes of closed geodesics on certain manifolds without conjugate points. Our results cover all compact surfaces of genus at least 2 without conjugate points.

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