数学杂志2016，Vol.36Issue(6)：1133-1141,9.
容有半对称度量联络的广义复空间中子流形上的Chen-Ricci不等式
CHEN-RICCI INEQUALITIES FOR SUBMANIFOLDS OF GENERALIZED COMPLEX SPACE FORMS WITH SEMI-SYMMETRIC METRIC CONNECTIONS
摘要
Abstract
In this paper, we study Chen-Ricci inequalities for submanifolds of generalized complex space forms endowed with a semi-symmetric metric connection. By using algebraic tech-niques, we establish Chen-Ricci inequalities between the mean curvature associated with a semi-symmetric metric connection and certain intrinsic invariants involving the Ricci curvature and k-Ricci curvature of submanifolds, which generalize some of Mihai and ¨Ozg¨ur’s results.关键词
Chen-Ricci不等式/k-Ricci曲率/广义复空间/半对称度量联络Key words
Chen-Ricci inequality/k-Ricci curvature/generalized complex space form/semi-symmetric metric connection分类
数理科学引用本文复制引用
何国庆..容有半对称度量联络的广义复空间中子流形上的Chen-Ricci不等式[J].数学杂志,2016,36(6):1133-1141,9.基金项目
Supported by the Foundation for Excellent Young Talents of Higher Education of Anhui Province (2011SQRL021ZD) （2011SQRL021ZD）
