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arXiv · 1703.02478

An arithmetic property of the set of angles between closed geodesics on hyperbolic surfaces of finite type

Sugata Mondal
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Abstract

For a hyperbolic surface S of finite type we consider the set A(S) of angles between closed geodesics on S. Our main result is that there are only finitely many rational multiples of \pi in A(S).

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Sugata Mondal. 2017-03-07. An arithmetic property of the set of angles between closed geodesics on hyperbolic surfaces of finite type. https://arxiv.org/abs/1703.02478

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