关于伪脐子流形的一些性质  

On Pseudo-Umbilical Submanifolds

作　　者：陈珍珍[1] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《宁夏大学学报（自然科学版）》2005年第2期125-127,134,共4页Journal of Ningxia University(Natural Science Edition)

摘　　要：研究了常曲率空间Mn2+p+q(c2)中的常曲率子流形Mn1+p(c1)的子流形Mn,得到了Mn为M1n+p(c1)的全脐子流形的一些充分条件.In this paper, the submanifolds of constant curvature submanifold in constant curvature space are studied. Let M^(n+p+q)_2(c_2) be a (n+p+q)-dimensional Riemannian manifold with constant curvature c_2, M^(n+p)_1 (c_1) be a (n+p)-dimensional with constant curvature c_1 in M^(n+p+q)_2(c_2), M^n be a compact pseudo-umbilical submanifold with parallel mean curvature vector in M^(n+p)_1(c_1), some sufficient conditions are obtained to ensure that the M^n is an totally umbilical submanifold in M^(n+p)_1(c_1).

关 键 词：常曲率流形 伪脐子流形 全脐子流形 

分 类 号：O186.12[理学—数学]