Lorentz Hypersurfaces satisfying $△\vec{H}=\alpha \vec{H}$ with non diagonal shape operator

Abstract

We study Lorentz hypersurfaces $M_1^n$ in $E_1^{n+1}$ satisfying $△\vec{H}=\alpha \vec{H}$ with non diagonal shape operator, having complex eigenvalues. We prove that every such Lorentz hypersurface in $E_1^{n+1}$ having at most five distinct principal curvatures has constant mean curvature.

13 pages. arXiv admin note: text overlap with arXiv:1610.03005

Cited by in corpus (1)

• On Biconservative Lorentz Hypersurface with non-diagonalizable shape operator