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VOL. 1 | 2000 Deformations of Minimal Surfaces
Ivailo M. Mladenov, Borislav Angelov

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

Abstract

Here we combine group-theoretical and differential-geometric techniques for considerations of minimal surface deformations in the ordinary three-dimensional space. This approach allows a consideration of a novel family of transformations generated by complex rotations. The resulting generalized deformations are compared with the well-known Bonnet and Goursat transformations and illustrated via the Schwarz skew quadrilateral to provide a clarification of their geometrical origin.

Information

Published: 1 January 2000
First available in Project Euclid: 5 June 2015

zbMATH: 1040.53004
MathSciNet: MR1758160

Digital Object Identifier: 10.7546/giq-1-2000-163-174

Rights: Copyright © 2000 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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