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arXiv · 2008.02249

Closed geodesics on surfaces without conjugate points

Vaughn Climenhaga·Gerhard Knieper·Khadim War
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Abstract

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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Vaughn Climenhaga, Gerhard Knieper, Khadim War. 2020-08-05. Closed geodesics on surfaces without conjugate points. https://arxiv.org/abs/2008.02249

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