On biconservative hypersurfaces in pseudo-Riemannian space forms and their Gauss map

We first present a survey about recent results on biconservative hypersurfaces in the Minkowski space E4 1, pseudo-Euclidean space E5 2 and Rieamnnian space-form H4. Then we obtain some geometrical properties of these hypersurface families concerning their mean curvature and Gauss map.

Complete classification of biconservative hypersurfaces with diagonalizable shape operator in the Minkowski 4-space

In this paper, we study biconservative hypersurfaces in the four-dimensional Minkowski space [Formula: see text]. We give the complete explicit classification of biconservative hypersurfaces with diagonalizable shape operator in [Formula: see text].