20th International Conference on Geometry, Integrability and Quantization, Varna, Bulgaria, 2 - 07 June 2018, pp.255-265
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.