On Biconservative Lorentz Hypersurface with non-diagonalizable shape operator

摘要

In this paper, we obtain some properties of biconservative Lorentzhypersurface $M_{1}^{n}$ in $E_{1}^{n+1}$ having shape operator with complexeigen values. We prove that every biconservative Lorentz hypersurface$M_{1}^{n}$ in $E_{1}^{n+1}$ whose shape operator has complex eigen values withat most five distinct principal curvatures has constant mean curvature. Also,we investigate such type of hypersurface with constant length of secondfundamental form having six distinct principal curvatures.