A rigidity theorem for complete CMC hypersurfaces in Lorentz manifolds

By A. Caminha. 2006

58 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/394d18b0231514bc7313a552077099af05de6890