Lorentz空间中的具有常数量曲率的完备类空超曲面

Complete Space-like Hypersurfaces with Constant Scalar Curvature in Lorentz Spaces

讨论了在局部对称Lorentz空间中的具有常标准数量曲率的满足一定曲率条件的完备类空超曲面,利用Cheng S Y和Yau S T介绍的自伴随算子L1,得到了一个分类定理.

In this paper,we study complete space-like hypersurfaces with constant normal scalar curvature in a locally symmetric Lorentz space satisfying some curvature conditions.With the operator L_1 introduced by Cheng S Y and Yau S T,a classified theorem is obtained.