容有半对称度量联络的广义复空间中子流形上的Chen不等式（英文）  

Chen Inequalities for Submanifolds of Generalized Space Forms with Semi-Symmetric Metric Connections

作　　者：何国庆[1] 陈平[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,安徽芜湖241000

出　　处：《安徽师范大学学报（自然科学版）》2014年第5期418-424,共7页Journal of Anhui Normal University(Natural Science)

基　　金：Supported by Foundation for Excellent Young Talents of Higher Education of Anhui Province(2011SQRL021ZD)

摘　　要：在容有半对称度量联络的广义复空间中建立了子流形上的Chen不等式,这些不等式给出了子流形的平均曲率(关于半对称联络)与截面曲率,数量曲率之间的关系.In this paper ,we establish Chen inequalities for submanifolds of generalized space forms , endowed with semi-symmetric metric connections .These inequalities give relationships between the mean curvature associated with a semi-symmetric metric connection and certain intrinsic invariants involving the sectional and scalar curvatures of submanifolds .

关 键 词：CHEN 不等式 广义复空间 半对称联络 

分 类 号：O186.12[理学—数学]