arXiv Analytics

Sign in

arXiv:1703.02478 [math.DG]AbstractReferencesReviewsResources

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

Sugata Mondal

Published 2017-03-07Version 1

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).

Comments: 7 pages, 1 figure
Categories: math.DG
Subjects: 53C22, 20H10
Related articles: Most relevant | Search more
arXiv:1011.4878 [math.DG] (Published 2010-11-22, updated 2011-08-26)
Closed Geodesics in Lorentzian Surfaces
arXiv:1602.03679 [math.DG] (Published 2016-02-11)
On the existence of infinitely many closed geodesics on non-compact manifolds
arXiv:1703.00850 [math.DG] (Published 2017-03-02)
On the existence of closed geodesics on 2-orbifolds

Links

Toolbox