A Rigidity Theorem for Complete CMC Hypersurfaces in Lorentz Manifolds

Antonio Caminha

Keywords: Differential Geometry | Lorentz-Minkowsky Space

In this paper we use the standard formula for the Laplacian of the squared norm of the second fundamental form and the asymptotic maximum principle of H. Omori and S. T. Yau to classify complete CMC spacelike hypersurfaces of a Lorentz ambient space of nonnegative constant sectional curvature, under appropriate bounds on the scalar curvature.

Anexos:

• CMC_in_lorentz.ps