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

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 quasiminimal surface. MSC : 53D12, 53C40, 53C42