子流形与拓扑球面定理(英文)  

Submanifolds and the Topological Sphere Theorem

作　　者：舒世昌[1] 刘三阳[1] 

机构地区：[1]西安电子科技大学应用数学系

出　　处：《应用数学》2004年第1期73-77,共5页Mathematica Applicata

基　　金：SupportedbytheNationalNaturalScienceFoundationofChina (6 9972 0 36 ) ;NSFofShaanxi(0 3JK2 1 5 )

摘　　要：本文建立了球面Sn+p(c) (c>0 )中的完备子流形的一个拓扑球面定理 。In this paper,we establish a topological sphere theorem for complete submanifolds in a sphere S n+p (c) with c>0,which shows that the topology of a complete submanifold is affected by conditions on the main intrinsic and extrinsic curvature invariants.

关 键 词：完备子流形 拓扑球面定理 曲率 RIEMANNIAN流形 

分 类 号：O189.3[理学—数学]