On the existence of closed geodesics on 2-orbifolds

2017/03/02 by Christian Lange, Lange, Christian
Mathematics · #53C22 #58E10 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C22 #msc:58E10

paper · pdf · doi:10.48550/arxiv.1703.00850

16 pages, improved exposition

arxiv created 2017/11/01 · arxiv updated 2017/11/02

Abstract

We show that on every compact Riemannian 2-orbifold there exist infinitely many closed geodesics of positive length.

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