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VOL. 4 | 2003 Unduloids and Their Closed Geodesics
Ivaïlo Mladenov, John Oprea

Editor(s) Ivaïlo M. Mladenov, Gregory L. Naber

Abstract

We construct explicit parametrizations in terms of elliptic functions for unduloids depending on a parameter. We then use these parametrizations to study geodesics on unduloids. In particular, we use Maple to find interesting closed geodesics on unduloids.

Information

Published: 1 January 2003
First available in Project Euclid: 12 June 2015

zbMATH: 1051.53005
MathSciNet: MR1977569

Digital Object Identifier: 10.7546/giq-4-2003-206-234

Rights: Copyright © 2003 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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