School of Mathematics and Information Science, Xianyang Normal University, Xianyang, 712000, Shaanxi, P. R. China
Abstract
Let $M^n$ be an $n(n\geq 3)$-dimensional complete connected and oriented spacelike hypersurface in a de Sitter space or an anti-de Sitter space, $S$ and $K$ be the squared norm of the second fundamental form and Gauss-Kronecker curvature of $M^n$. If $S$ or $K$ is constant, nonzero and $M^n$ has two distinct principal curvatures one of which is simple, we obtain some characterizations of the Riemannian products: $S^{n-1}(a) \times H^{1}(\sqrt{a^2-1})$, or $H^{n-1}(a) \times H^1(\sqrt{1-a^2})$.
Shu, S., & Chen, J. (2015). Spacelike hypersurfaces with constant $S$ or $K$ in de Sitter space or anti-de Sitter space. Bulletin of the Iranian Mathematical Society, 41(4), 835-855.
MLA
Shu, S., & Chen, J. "Spacelike hypersurfaces with constant $S$ or $K$ in de Sitter space or anti-de Sitter space", Bulletin of the Iranian Mathematical Society, 41, 4, 2015, 835-855.
HARVARD
Shu S., Chen J. (2015). 'Spacelike hypersurfaces with constant $S$ or $K$ in de Sitter space or anti-de Sitter space', Bulletin of the Iranian Mathematical Society, 41(4), pp. 835-855.
CHICAGO
S. Shu & J. Chen, "Spacelike hypersurfaces with constant $S$ or $K$ in de Sitter space or anti-de Sitter space," Bulletin of the Iranian Mathematical Society, 41 4 (2015): 835-855,
VANCOUVER
Shu S., Chen J. Spacelike hypersurfaces with constant $S$ or $K$ in de Sitter space or anti-de Sitter space. BIMS. 2015;41(4):835-855.
