Vol. 175, No. 1, 1996

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The closed geodesic problem for compact Riemannian 2-orbifolds

Joseph E. Borzellino and Benjamin G. Lorica

Vol. 175 (1996), No. 1, 39–46
Abstract

In this paper it is shown that any compact Riemannian 2-orbifold whose underlying space is a (compact) manifold without boundary has at least one closed geodesic.

Mathematical Subject Classification 2000
Primary: 53C22
Milestones
Received: 13 April 1994
Published: 1 September 1996
Authors
Joseph E. Borzellino
University of California
Los Angeles CA 90095-1555
United States
Benjamin G. Lorica
Institute for Mathematical Sciences and Applications
California State University
Monterey Bay
Seaside CA 93955-8001
United States