EUDML

Currently displaying 1 – 4 of 4

Order by Relevance | Title | Year of publication

Complete hypersurfaces with constant scalar curvature in a hyperbolic space.

Shu, Shichang — 2007

Balkan Journal of Geometry and its Applications (BJGA)

Hypersurfaces with constant scalar or mean curvature in a unit sphere.

Shu, Shichang; Han, Annie Yi — 2009

Balkan Journal of Geometry and its Applications (BJGA)

Hypersurfaces with constant $k$ -th mean curvature in a Lorentzian space form

Shichang Shu — 2010

Archivum Mathematicum

In this paper, we study $n (n \geq 3)$ -dimensional complete connected and oriented space-like hypersurfaces $M^{n}$ in an (n+1)-dimensional Lorentzian space form $M_{1}^{n + 1} (c)$ with non-zero constant $k$ -th $(k < n)$ mean curvature and two distinct principal curvatures $λ$ and $μ$ . We give some characterizations of Riemannian product $H^{m} (c_{1}) \times M^{n - m} (c_{2})$ and show that the Riemannian product $H^{m} (c_{1}) \times M^{n - m} (c_{2})$ is the only complete connected and oriented space-like hypersurface in $M_{1}^{n + 1} (c)$ with constant $k$ -th mean curvature and two distinct principal curvatures, if the multiplicities of...