Open Access
VOL. 17 | 2016 Bour Surface Companions in Space Forms
Chapter Author(s) Erhan Güler, Shotaro Konnai, Masashi Yasumoto
Editor(s) Ivaïlo M. Mladenov, Guowu Meng, Akira Yoshioka
Geom. Integrability & Quantization, 2016: 256-269 (2016) DOI: 10.7546/giq-17-2016-256-269

Abstract

In this paper, we give explicit parametrizations for Bour type surfaces in various three-dimensional space forms, using Weierstrass-type representations. We also determine classes and degrees of some Bour type zero mean curvature surfaces in three-dimensional Minkowski space.

Information

Published: 1 January 2016
First available in Project Euclid: 15 December 2015

zbMATH: 1346.53056
MathSciNet: MR3445434

Digital Object Identifier: 10.7546/giq-17-2016-256-269

Rights: Copyright © 2016 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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