| 多重卷积流形上的梯度近Ricci孤立子 |
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| 引用本文： | 沈东.多重卷积流形上的梯度近Ricci孤立子[J].吉林大学学报(理学版),2022,60(2):261-268. |
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| 作者姓名： | 沈东 |
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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： | 利用多重卷积流形上的协变导数算子、 梯度算子、 Ricci曲率的性质以及二阶椭圆算子的强最大值原理, 讨论多重卷积流形上的梯度近Ricci孤立子, 给出多重卷积流形是梯度近Ricci孤立子的充要条件, 以及多重卷积流形上的梯度近Ricci孤立子的一个刚性结果.
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| 关 键 词： | 多重卷积流形 梯度近Ricci孤立子 度量 |
| 收稿时间： | 2021-05-08 |
Gradient Ricci Almost Solitons on Multiply Warped Product Manifolds |
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| SHEN Dong.Gradient Ricci Almost Solitons on Multiply Warped Product Manifolds[J].Journal of Jilin University: Sci Ed,2022,60(2):261-268. |
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| Authors: | SHEN Dong |
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| Institution: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | By using the properties of covariant derivative operator, gradient operator, Ricci curvature and strong maximum principle of second-order elliptic operator on multiply warped product manifolds, the author discussed gradient Ricci almost solitons on multiply warped product manifolds, gave the necessary and sufficient conditions that multiply warped product manifolds were gradient Ricci almost solitons and a rigid result of gradient Ricci almost solitons on multiply warped product. |
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| Keywords: | multiply warped product manifolds gradient Ricci almost solitons metric |
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