| 完备非紧梯度扩张Ricci孤立子的刚性 |
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| 引用本文： | 陈佳蕊,刘建成. 完备非紧梯度扩张Ricci孤立子的刚性[J]. 吉林大学学报(理学版), 2002, 57(6): 1403-1406 |
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| 作者姓名： | 陈佳蕊 刘建成 |
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| 作者单位： | 西北师范大学 数学与统计学院, 兰州 730070 |
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| 摘 要： | 利用已有梯度Ricci孤立子的刚性定理, 讨论完备非紧梯度扩张Ricci孤立子, 在Ricci曲率非负、 径向曲率为0及Weyl张量的四阶散度非负的条件下, 得到了其刚性的结果.
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| 关 键 词： | 梯度扩张Ricci孤立子 刚性 径向曲率 Weyl张量 |
| 收稿时间： | 2019-03-18 |
Rigidity of Complete Non compact GradientExpanding Ricci Solitons |
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| CHEN Jiarui,LIU Jiancheng. Rigidity of Complete Non compact GradientExpanding Ricci Solitons[J]. Journal of Jilin University: Sci Ed, 2002, 57(6): 1403-1406 |
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| Authors: | CHEN Jiarui LIU Jiancheng |
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| Affiliation: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | By using the existing rigidity theorem of gradient Ricci solitons, we discussed complete non-compact gradient expanding Riccisolitons. Under the conditions that the Ricci curvature was non-negative, the radial curvature vanished and the fourth order divergence of the Weyl tensor was non-negative, we obtained its rigidity result. |
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| Keywords: | gradient expanding Ricci soliton rigidity radial curvature Weyl tensor |
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