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

2017/03/07 by Sugata Mondal, Mondal, Sugata
Mathematics · #20H10 #53C22 #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Mathematical Dynamics and Fractals #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1703.02478

openalex publication_date 2017/03/07 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

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 πin A(S).

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