| 一类具有1-形式S-曲率的Einstein度量 |
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| 引用本文： | 杨俊丽,王佳. 一类具有1-形式S-曲率的Einstein度量[J]. 西南大学学报(自然科学版), 2011, 33(2) |
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| 作者姓名： | 杨俊丽 王佳 |
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| 作者单位： | 西南大学数学与统计学院; |
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| 基金项目： | 重庆市教委科研资助项目(KJ071201) |
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| 摘 要： | 研究了一类Einstein度量.得到这类度量在n维流形上具有1-形式S-曲率的等价条件,同时也给出了这类度量为弱-Berwald度量的充要条件是S-曲率为零.
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| 关 键 词： | (α β)-度量 Einstein度量 1-形式S-曲率 弱-Berwald度量 |
On a Class of Einstein Metrics with 1-Form S-Curvature |
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| YANG Jun-li,WANG Jia School of Mathematics , Statistics,Southwest University,Chongqing ,China. On a Class of Einstein Metrics with 1-Form S-Curvature[J]. Journal of southwest university (Natural science edition), 2011, 33(2) |
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| Authors: | YANG Jun-li WANG Jia School of Mathematics Statistics Southwest University Chongqing China |
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| Affiliation: | YANG Jun-li,WANG Jia School of Mathematics and Statistics,Southwest University,Chongqing 400715,China |
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| Abstract: | This paper studies one class of 1-form S-curvature Einstein metrics and obtains the equivalent conditions that such metric is of 1-form S-curvature on n-dimensional manifold.At the same time,it gives the necessary and sufficient conditions that such metric is a weak Berwald metric if and only if S=0. |
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