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VOL. 17 | 2016 Meridian Surfaces of Parabolic Type in the Four-Dimensional Minkowski Space
Georgi Ganchev, Velichka Milousheva

Editor(s) Ivaïlo M. Mladenov, Guowu Meng, Akira Yoshioka

Abstract

We construct a special class of spacelike surfaces in the Minkowski 4-space which are one-parameter systems of meridians of the rotational hypersurface with lightlike axis and call these surfaces meridian surfaces of parabolic type. They are analogous to the meridian surfaces of elliptic or hyperbolic type. Using the invariants of these surfaces we give the complete classification of the meridian surfaces of parabolic type with constant Gauss curvature or constant mean curvature. We also classify the Chen meridian surfaces of parabolic type and the meridian surfaces of parabolic type with parallel normal bundle.

Information

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

zbMATH: 1345.53020
MathSciNet: MR3445433

Digital Object Identifier: 10.7546/giq-17-2016-243-255

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

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