On Quasi-Minimal Isometric Immersions into Non-Flat Semi Riemannian Space Forms of Index Two

Turgay, Nurettin C.; Kelleci, Alev; Yeğin Şen, Rüya; Canfes, Elif Özkara

doi:10.7546/giq-20-2019-255-265

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

Geom. Integrability & Quantization, 2019: 255-265 (2019) DOI: 10.7546/giq-20-2019-255-265

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.