| 共形平坦黎曼流形上的Schouten张量 |
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| 引用本文： | 华义平.共形平坦黎曼流形上的Schouten张量[J].纯粹数学与应用数学,2012,28(3):308-312. |
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| 作者姓名： | 华义平 |
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| 作者单位： | 池州学院数学计算机科学系,安徽池州,247000 |
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| 基金项目： | 池州学院研究生启动项目 |
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| 摘 要： | M是一个紧致的局部共形平坦黎曼流形,其上定义的Schouten张量是一个Codazzi张量.本文借助这个Codazzi张量引入Cheng和Yau的自伴算子,从而获得了局部共形平坦流形上的一些性质,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 |
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| Hua Yiping.Schouten tensor on the locally conformally flat manifold[J].Pure and Applied Mathematics,2012,28(3):308-312. |
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| Authors: | Hua Yiping |
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| Institution: | Hua Yiping(Department of Mathematics and Computer Science,Chizhou College,Chizhou 247000,China) |
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| Abstract: | A compact locally conformally flat Riemannian manifold M was considered,The Schouten tensor on M is a Codazzi tensor.In this paper,some new properties were obtained by introducing Cheng-Yau′sself-adjoint operator on locally conformally flat Riemannian manifold,which improve known conclusion. |
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| Keywords: | locally conformally flat schouten tensor ricci curvature scalar curvature |
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