多重扭曲时空中类空超曲面的唯一性定理及其应用  

The uniqueness theorem of spacelike hypersurface in multi-warped spacetimes and its applications

作　　者：吴炳烨[1] 

机构地区：[1]闽江学院数学系,福建福州350108

出　　处：《闽江学院学报》2008年第5期1-4,共4页Journal of Minjiang University

摘　　要：得到了多重扭曲时空中常平均曲率类空超曲面的一个唯一性定理.作为应用,证明了反de Sitter时空中位于两同心Veronese超曲面之间的完备常平均曲率类空超曲面一定是Veronese超曲面.由该唯一性定理还可直接推得有关文献中的相应结果.A uniqueness theorem for spacelike hypersurfaces in multi-warped spacetime with constant mean curvature is obtained. As its applications, it is proved that any complete spacelike hypersurfaces with constant mean curvature in anti de Sitter spacetime which lies in two concentric Veronese hypersurfaces must be a Veronese hypersurface. Some known results in the literatures can also be deduced from the uniqueness theorem.

关 键 词：多重扭曲时空 类空超曲面 平均曲率 

分 类 号：O174.56[理学—数学]