| 具有半对称度量联络的广义Sasakian空间形式中子流形上的Chen不等式 |
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| 引用本文： | 何国庆,张量,刘海蓉.具有半对称度量联络的广义Sasakian空间形式中子流形上的Chen不等式[J].吉林大学学报(理学版),2016,54(6):1248-1254. |
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| 作者姓名： | 何国庆 张量 刘海蓉 |
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| 作者单位： | 1. 安徽师范大学 数学计算机科学学院, 安徽 芜湖 241003;2. 南京林业大学 理学院, 南京 210037 |
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| 摘 要： | 利用代数技巧,建立具有半对称度量联络的广义Sasakian空间形式中子流形上的Chen不等式,给出了子流形关于半对称度量联络的平均曲率与子流形关于半对称度量联络的截面曲率和数量曲率等内在不变量之间的关系.
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| 关 键 词： | Chen不等式 广义Sasakian空间形式 半对称度量联络 |
| 收稿时间： | 2016-02-21 |
Chen Inequalities for Submanifolds of Generalized SasakianSpace Forms with a Semi-symmetric Metric Connection |
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| HE Guoqing,ZHANG Liang,LIU Hairong.Chen Inequalities for Submanifolds of Generalized SasakianSpace Forms with a Semi-symmetric Metric Connection[J].Journal of Jilin University: Sci Ed,2016,54(6):1248-1254. |
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| Authors: | HE Guoqing ZHANG Liang LIU Hairong |
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| Institution: | 1. School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, Anhui Province, China;2. School of Science, Nanjing Forestry University, Nanjing 210037, China |
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| Abstract: | Using algebraic techniques, we established Chen inequalities for submanifolds of generalized Sasakian space forms with a semi-symmetric metric connection, and gave relationships between the mean curvature associated with a semi symmetric metric connection and certain intrinsic invariants involving the sectional and scalar curvatures of submanifolds. |
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| Keywords: | Chen inequalities generalized Sasakian space form semi-symmetric metric connection |
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