%0 Journal Article
%T 具有半对称度量联络的广义Sasakian空间形式中的子流形的Chen-Ricci不等式<br>Chen-Ricci inequalities for submanifolds of generalized Sasakian space forms with a semi-symmetric metric connection
%A 何国庆
%A 张量
%A 刘海蓉&lt
%A br&gt
%A HE Guo-qing
%A ZHANG Liang
%A LIU Hai-rong
%J 山东大学学报（理学版）
%D 2017
%R 10.6040/j.issn.1671-9352.0.2016.607
%X 摘要： 建立了具有半对称度量联络的广义Sasakian空间形式中关于子流形的Chen-Ricci不等式。 这些不等式刻画了子流形关于半对称度量联络的内在不变量(Ricci曲率)、k-Ricci曲率与外在不变量(平均曲率平方‖H‖2)之间的关系。<br>Abstract: We establish Chen-Ricci inequalities for submanifolds of generalized Sasakian space forms endowed with a semi-symmetric metric connection. These inequalities give relationships between the squared mean curvature and certain intrinsic invariants involving the Ricci curvature and the k-Ricci curvature with respect to the induced semi-symmetric metric connection of submanifolds
%K 半对称度量联络
%K 广义Sasakian空间形式
%K Chen-Ricci 不等式
%K &lt
%K br&gt
%K generalized Sasakian space forms
%K semi-symmetric metric connection
%K Chen-Ricci inequalities
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2016.607