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

Abstract

In this paper, we study biconservative hypersurfaces in the four dimensional Minkowski space ${\mathbb{E}}_1^4$. We give the complete explicit classification of biconservative hypersurfaces with diagonalizable shape operator in ${\mathbb{E}}_1^4$.

Keywords: Biharmonic submanifolds, Biconservative hypersurfaces, Minkowski space, Diagonalizable shape operator