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VOL. 20 | 2019 Planar p-Elasticae and Rotational Linear Weingarten Surfaces
Álvaro Pámpano

Editor(s) Ivaïlo M. Mladenov, Vladimir Pulov, Akira Yoshioka

Abstract

We variationally characterize the profile curves of rotational linear Weingarten surfaces as planar p-elastic curves. Moreover, by evolving these planar p-elasticae under the binormal flow with prescribed velocity, we describe a procedure to construct all rotational linear Weingarten surfaces, locally. Finally, we apply our findings to two well-known family of surfaces.

Information

Published: 1 January 2019
First available in Project Euclid: 21 December 2018

zbMATH: 1415.53002
MathSciNet: MR3887753

Digital Object Identifier: 10.7546/giq-20-2019-227-238

Rights: Copyright © 2019 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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