非负曲率的完备黎曼流形上的平行射线  

The Parallelism of the Rays in a Complete Riemannian Manifold with Nonnegative Curvature

作　　者：詹华税[1] 

机构地区：[1]厦门大学数学科学学院,福建厦门361005

出　　处：《厦门大学学报（自然科学版）》2004年第4期441-443,共3页Journal of Xiamen University：Natural Science

摘　　要：讨论了具非负典率的完备非紧黎曼流形M上平行射线的性质,证明了此时两平行射线对应于M上的同一个Busemann函数.同时证明了具完全平行性质的非负曲率的完备非紧黎曼流形M=Rk×S,其中S为核心.The parallel properties of the rays in a complete noncompact Riemannian manifoldM were discussed in this paper, It is proved that the Busemann functions corresponding to any given two parallel rays are just the same as each other in the sense of H.Wu.Moreover,M=R^k×S is provided whereM is the complete parallel properties andS is the soul ofM.

关 键 词：非负曲率 完备黎曼流形 平行射线 BUSEMANN函数 欧式空间 

分 类 号：O186.12[理学—数学]