局部对称共形平坦Lorentz流形中具有常数量曲率的紧致类空超曲面

Space-Like Hypersurfaces with Constant Scalar Curvture in a Locally Symmetric Conformally Flat Lorentzian Manifold

利用自伴算子□,研究局部对称共形平坦Lorentz流形中具有常数量曲率的紧致类空超曲面,得到了这类超曲面的一个刚性定理.

In this paper, we study the compact space-like hypersurfaces with constant scalar curvature in locally symmetric conformally flat Lorentzian manifold, and obtain a rigidity theorems by introducing a self-adjoint operator. The results generalize some previous result.