Moscow Mathematical Journal

Volume 13, Issue 1, January–March 2013 pp. 99–121.

Classification of Simple Closed Geodesics on Rectangular Prisms

Authors: James L. Parish
Author institution: Dept. of Mathematics & Statistics, Southern Illinois University Edwardsville, Edwardsville, IL 62026
Summary:

A complete classification of simple closed geodesics on rectangular prisms is provided, identifying which such geodesics are possible in terms of the sides of the prism.

2010 Mathematics Subject Classification. Primary: 51M16; Secondary: 51M04, 51M20, 52B05, 53C22, 57M50.

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