S^(n+p)(c)(c≤0)中的完备Einstein子流形  

Complete Einstein submanifold in S^(n+p)(c) (c≤0)

作　　者：胡冰[1] 

机构地区：[1]安庆师范学院数学系,安徽安庆246011

出　　处：《重庆工商大学学报（自然科学版）》2008年第5期467-469,共3页Journal of Chongqing Technology and Business University:Natural Science Edition

摘　　要：在相关文献中讨论了当纯量曲率R和平均曲率H具有线性关系R=kH(R>0,H>0),k=const时,S^(n+p)(c)(c≤0)中完备子空间M^n的有关性质,但满足线性关系R=kH的空间是很抽象的.将此线性条件改为M^n为Einstein流形,在此具体子流形上得到了同样的结论.The paper [ 1 ] has discussed a few related properties of the complete subspace M^n in S^n＋p（C）（c≤0） which has the linear relation R = kH（ R 〉 0 ,H 〉 0） ,k = const between the mean curvature R and the mean curvature H, but the space which suits the linear relation R = kH is very abstract. In this note, the author replaced the linear relation with the condition that M^n is Einstein manifold, on the base of idiographic Einstein, we got the same conclusions as [ 1 ].

关 键 词：全脐 纯量曲率 平均曲率 子流形 

分 类 号：O186.1[理学—数学]