Sasakian空间形式的C-全实子流形（英文）  

C-Totally real submanifolds in Sasakian space forms

作　　者：王美娇[1,2] WANG Mei-jiao(School of Mathematics and Information Sciences,Guangzhou University,Guangzhou 510006,China;Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes (Guangzhou University),Guangzhou University,Guangzhou 510006,China)

机构地区：[1]广州大学数学与信息科学学院,广东广州510006 [2]广州大学数学与交叉科学广东普通高校重点实验室(广州大学),广东广州510006

出　　处：《广州大学学报（自然科学版）》2018年第6期10-15,共6页Journal of Guangzhou University:Natural Science Edition

基　　金：Supported by the National Natural Science Foundation of China(19771039)

摘　　要：研究Sasakian空间形式中具平行平均曲率向量的C-全实子流形M^n,得到一个Simon's公式以及M^n的第二基本形式的模长平方S如果满足:■;■,则M^n是全测地的.改进并推广了XUAN等的相应结果.We discuss the C-totally compact real submanifolds with parallel mean curvature vector of Sasakian space forms,obtain a formula of Simons type and if the square of the norm of the second fundamental form S of M n satisfies①S≤1/4a(n+1)(c+3),n>2;②S<1/4(n+1)(c+3),n=2,then M^n is a totally geodesic submanifold.These improve the results of XUAN,et al.

关 键 词：SASAKIAN空间形式 平均曲率向量 C-全实子流形 

分 类 号：O186.12[理学—数学]