Spacelike hypersurfaces with constant mean curvature in Lorentz space

In the minimal case, Perdomo (Perdomo 2004) and Wang (Wang 2003) obtained an integral inequality involving the square of the norm of the second fundamental form of M, where

Romero, Integral formulas for compact space-like hypersurfaces in de Sitter space: applications to the case of constant higher order mean curvature, J.. Colares, Stable

Let M be a compact Riemannian manifold with nonnegative Ricci curvature and o~, a codimension-one C3-foliation of M whose leaves have constant mean curvature..

umbilical complete constant mean curvature spacelike hypersurfaces in S n 1 +1 ,.. ∗ Partially supported by DGAPA–UNAM, M´ exico, under Project IN118508

Erratum to “A gap theorem for complete constant scalar curvature hypersurfaces in the de Sitter

Alencar, H., do Carmo, M.P.: Hypersurfaces with constant mean curvature in spheres.. Cheng, S.Y., Yau, S.T.: Hypersurfaces with constant

By using the nodal domains of some natural function arising in the study of hypersurfaces with constant mean curvature we obtain some Bernstein-type theorems.. Key words:

We proved that if the mean curvature is constant, then such graphs are equivalent in the following sense: suppose that M is a constant mean curvature surface in the 3-hyperbolic