| 具有 1／4 对称度量联络的半 Rie mann 流形非退化超曲面 |
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| 引用本文： | 许静波,程晓亮.具有 1／4 对称度量联络的半 Rie mann 流形非退化超曲面[J].吉林大学学报(理学版),2019,57(5):1023-1027. |
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| 作者姓名： | 许静波 程晓亮 |
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| 作者单位： | 吉林师范大学数学学院,吉林四平,136000;吉林师范大学数学学院,吉林四平,136000 |
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| 基金项目： | 国家自然科学基金;吉林省自然科学基金;吉林省教育厅十三五科学技术研究项目 |
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| 摘 要： | 借助Levi Civita联络的Gauss方程与Weingarten方程给出具有1/4对称度量联络的半Riemann流形非退化超曲面上的Gauss方程与Weingarten方程, 得到了这类曲面上的Gauss曲率方程和Codazzi Mainardi方程, 利用该结果可进一步研究更一般联络的性质.
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| 关 键 词： | 半Riemann流形 非退化超曲面 1/4对称度量联络 Levi-Civita联络 |
| 收稿时间： | 2018-12-21 |
Non-degenerate Hypersurfaces of Semi RiemannianManifold with Quarter Symmetric Metric Connection#br# |
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| XU Jingbo,CHENG Xiaoliang.Non-degenerate Hypersurfaces of Semi RiemannianManifold with Quarter Symmetric Metric Connection#br#[J].Journal of Jilin University: Sci Ed,2019,57(5):1023-1027. |
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| Authors: | XU Jingbo CHENG Xiaoliang |
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| Institution: | School of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China
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| Abstract: | Using the equations of Gauss and Weingarten with respect to the Levi Civita connection, we gave the equations of Gauss and Weingarten for a non degenerate hypersurface of a semi Riemannian manifold with a quarter symmetric metric connection, and obtained the Gauss curvature equation and Codazzi Mainardi equation for this kind of hypersurface. We could further study the properties of more general connection by using this result. |
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| Keywords: | semi Riemannian manifold non degenerate hypersurface quarter symmetric metric connection Levi Civita connection
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