On complete space-like submanifolds with parallel mean curvature vector
It is proved that in a complete spacelike submanifold \(M^{n}\) with parallel mean curvature vector field of an indefinite space form \(N_p^{n+p}(c)\), the second fundamental form of \(M^n\) is upper bounded. This result is generalized to spacelike hypersurfaces with constant mean curvature in a Lorentz manifold. Also, harmonic Gauss maps of \(M^n\) in \(N_p^{n+p}(c)\) are investigated.
scientific article; zbMATH DE number 1199837