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 $\mathbb E^4_1$. We give the complete explicit classification of biconservative hypersurfaces with diagonalizable shape operator in $\mathbb E^4_1$.

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