S^n(c)×R_1中具有常平均曲率的完备类空超曲面

Complete space-like hypersurfaces with constant mean curvature in S^n(c)×R_1

利用完备黎曼流形的Omori-Yau广义极大值原理,获得Lorentzian乘积空间Sn(c)×R1中具有常平均曲率的类空超曲面是类空slice的一个充分条件,其中Sn(c)表示常截曲率为c>0的标准球面.

By applying the Omori-Yau generalized maximum principle for complete Riemannian manifolds,a sufficient condition was obtained for complete space-like hypersurfaces with constant mean curvature immersed in the Lorentzian product space Sn（c）×R1 as space-like slices,where Sn（c） denoting standard sphere with constant sectional curvature c0.