Vol. 294, No. 2, 2018

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On the existence of closed geodesics on 2-orbifolds

Christian Lange

Vol. 294 (2018), No. 2, 453–472
Abstract

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

Keywords
closed geodesics, orbifolds
Mathematical Subject Classification 2010
Primary: 53C22, 57R18
Milestones
Received: 20 March 2017
Revised: 10 October 2017
Accepted: 30 October 2017
Published: 20 February 2018
Authors
Christian Lange
Mathematisches Institut der Universität zu Köln
Weyertal
Köln
Germany