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

Chapter Author(s) 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.