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Moscow Mathematical Journal, 2013, Volume 13, Number 1, Pages 99–121
DOI: https://doi.org/10.17323/1609-4514-2013-13-1-99-121
(Mi mmj490)
 

Classification of Simple Closed Geodesics on Rectangular Prisms

James L. Parish

Dept. of Mathematics & Statistics, Southern Illinois University Edwardsville, Edwardsville, IL 62026
References:
Abstract: 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.
Key words and phrases: Geodesic, prism.
Received: December 16, 2011; in revised form July 23, 2012
Bibliographic databases:
Document Type: Article
MSC: Primary 51M16; Secondary 51M04, 51M20, 52B05, 53C22, 57M50
Language: English
Citation: James L. Parish, “Classification of Simple Closed Geodesics on Rectangular Prisms”, Mosc. Math. J., 13:1 (2013), 99–121
Citation in format AMSBIB
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\by James~L.~Parish
\paper Classification of Simple Closed Geodesics on Rectangular Prisms
\jour Mosc. Math.~J.
\yr 2013
\vol 13
\issue 1
\pages 99--121
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\crossref{https://doi.org/10.17323/1609-4514-2013-13-1-99-121}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3112217}
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