Complete spacelike hypersurfaces with constant mean curvature in the de Sitter space: a gap theorem
The authors study the topology and geometry of space-like surfaces with constant mean curvature in de Sitter space. Their result is a Lorentzian analogue of a theorem of \textit{H. Alencar} and \textit{M. P. do Carmo} [Proc. Am. Math. Soc. 120, 1223--1229 (1994; Zbl 0802.53017)] about hypersurfaces in the sphere. They give a lot of explicit examples of such hypersurfaces.
scientific article; zbMATH DE number 1993673