Lv, Jinchi Compact space-like hypersurfaces in de Sitter space. (English) Zbl 1084.53049 Int. J. Math. Math. Sci. 2005, No. 13, 2053-2069 (2005). The author considers compact space-like hypersurfaces in the de Sitter spacetime. Several integral formulas are proven, involving higher-order mean curvatures of the hypersurfaces. The results are applied to characterize the case when the respective hypersurfaces are totally umbilical. Reviewer: Gabriel Teodor Pripoae (Bucureşti) MSC: 53C40 Global submanifolds 53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics Keywords:space-like hypersurfaces; de sitter space; umbilical hypersurfaces; higher-order mean curvatures PDFBibTeX XMLCite \textit{J. Lv}, Int. J. Math. Math. Sci. 2005, No. 13, 2053--2069 (2005; Zbl 1084.53049) Full Text: DOI EuDML