| 局部共形平坦流形上的Schouten张量及其应用 |
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| 引用本文： | 华义平,宋卫东.局部共形平坦流形上的Schouten张量及其应用[J].杭州师范学院学报(自然科学版),2009,8(5):338-341. |
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| 作者姓名： | 华义平 宋卫东 |
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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： | 安徽省教育厅自然科学基金重点项目 |
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| 摘 要： | 利用Schouten张量研究局部共形平坦黎曼流形,得到这类流形为常曲率空间的一些充分条件,改进了已有的结论.
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| 关 键 词： | 局部共形平坦 Schouten张量 Ricci曲率 数量曲率 |
Schouten Tensor on the Locally Conformally Flat Manifold and Its Applications |
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| HUA Yi-ping,SONG Wei-dong.Schouten Tensor on the Locally Conformally Flat Manifold and Its Applications[J].Journal of Hangzhou Teachers College(Natural Science),2009,8(5):338-341. |
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| Authors: | HUA Yi-ping SONG Wei-dong |
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| Institution: | (College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China) |
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| Abstract: | This paper studies the Schouten tensor on the locally conformally flat manifold, and gets some sufficient conditions for M to be the space of constant curvature, which improves the known results. |
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| Keywords: | locally conformally flat Schouten tensor Ricci curvature scalar curvature |
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