| 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 |
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| 引用本文： | 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 |
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| 作者姓名： | 何国庆 |
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| 作者单位： | 安徽师范大学数学计算机科学学院, 安徽 芜湖 241000 |
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| 基金项目： | Supported by the Foundation for Excellent Young Talents of Higher Education of Anhui Province (2011SQRL021ZD). |
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| 摘 要： | 本文研究了容有半对称度量联络的广义复空间中的子流形上的Chen-Ricci不等式.利用代数技巧,建立了子流形上的Chen-Ricci不等式.这些不等式给出了子流形的外在几何量-关于半对称联络的平均曲率与内在几何量-Ricci曲率及k-Ricci曲率之间的关系,推广了Mihai和Özgür的一些结果.
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| 关 键 词： | Chen-Ricci不等式 k-Ricci曲率 广义复空间 半对称度量联络 |
| 收稿时间： | 2014-09-13 |
| 修稿时间： | 2015-11-09 |
CHEN-RICCI INEQUALITIES FOR SUBMANIFOLDS OF GENERALIZED COMPLEX SPACE FORMS WITH SEMI-SYMMETRIC METRIC CONNECTIONS |
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| HE Guo-qing. CHEN-RICCI INEQUALITIES FOR SUBMANIFOLDS OF GENERALIZED COMPLEX SPACE FORMS WITH SEMI-SYMMETRIC METRIC CONNECTIONS[J]. Journal of Mathematics, 2016, 36(6): 1133-1141 |
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| Authors: | HE Guo-qing |
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| Affiliation: | School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China |
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| 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 techniques, we establish Chen-Ricci inequalities between the mean curvature associated with a semisymmetric metric connection and certain intrinsic invariants involving the Ricci curvature and k-Ricci curvature of submanifolds, which generalize some of Mihai and Özgür''s results. |
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| Keywords: | Chen-Ricci inequality k-Ricci curvature generalized complex space form semisymmetric metric connection |
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