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