Sasaki空间形式^(2n+1)(c)中极小积分子流形  

Minimal Integral Submanifolds of Sasakian Space Form

作　　者：周亚非[1] 

机构地区：[1]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2005年第2期131-133,共3页Journal of Sichuan Normal University（Natural Science）

摘　　要：设 M2n+1(c)是2n+1维常φ 截面曲率c的Sasaki空间形式,Mn是 M2n+1(c)(c>-3)的n维紧致极小积分子流形、S.Maeda(TensorNS,1981,35:200～204.)证明了:当n 5时,若M的Ricci曲率满足Ric(Mn)>(n-2-14,n)·c+3则Mn是全测地的.讨论了n=4的情形,得到类似的结果.Let ^(2n+1)(c) denote a (2n+1) dimensional Sasakian space form of contact φ-sectional curvature C, M^n be a n-dimensional compact minimal integral submanifolds of ^(2n+1)(c). S. Meada (Tensor N S,1981,35:200～204.) proved that if Ric (M^n)>(n-2-1n)·c+34,n≥5, then M^n is totally geodesic. The purpose of the present paper is to obtain the analogous results for the case where n=4.

关 键 词：Sasaki空间 积分子流形 RICCI曲率 

分 类 号：O186[理学—数学]