局部对称Lorentz空间中的类空超曲面

Space-like hypersurfaces in locally symmetric Lorentz space

研究了局部对称Lorentz空间中具有常平均曲率或常数量曲率的类空超曲面.利用丘成桐的广义极大值原理和自伴随算子得到了两个重要的内蕴刚性定理,其分别推广了欧阳崇祯和刘新民的主要结果.

This paper studies the space-like hypersurfaces with constant mean curvature or constant scalar curvature in locally symmetric Lorentz space.Two important rigidity theorems are geted by making use of the generalized maximal principle and self-adjoint differential operator of Yau.Two important results of the related documents are generalized.