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VOL. 20 | 2019 On Quasi-Minimal Isometric Immersions into Non-Flat Semi Riemannian Space Forms of Index Two
Nurettin C. Turgay, Alev Kelleci, Rüya Yeğin Şen, Elif Özkara Canfes

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

Abstract

In this paper, first we gave a summary of recent results on biconservative immersions. Then, we obtained a necessary and sufficient condition for the existence of biconservative quasi-minimal immersions into a four dimensional semi-Riemannian space form of index two with non-zero sectional curvatures. We also constructed an explicit example of biconservative quasi-minimal surface.

Information

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

zbMATH: 1415.53046
MathSciNet: MR3887756

Digital Object Identifier: 10.7546/giq-20-2019-255-265

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

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