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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. |
| 关键词: Chen-Ricci不等式 k-Ricci曲率 广义复空间 半对称度量联络 |
| DOI： |
| 分类号:O186.12 |
| 基金项目:Supported by the Foundation for Excellent Young Talents of Higher Education of Anhui Province (2011SQRL021ZD). |
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| CHEN-RICCI INEQUALITIES FOR SUBMANIFOLDS OF GENERALIZED COMPLEX SPACE FORMS WITH SEMI-SYMMETRIC METRIC CONNECTIONS |
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HE Guo-qing
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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. |
| Key words: Chen-Ricci inequality k-Ricci curvature generalized complex space form semisymmetric metric connection |
