Open Access
VOL. 4 | 2003 Unduloids and Their Closed Geodesics
Chapter Author(s) Ivaïlo Mladenov, John Oprea
Editor(s) Ivaïlo M. Mladenov, Gregory L. Naber
Geom. Integrability & Quantization, 2003: 206-234 (2003) DOI: 10.7546/giq-4-2003-206-234

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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