| F-稳态映射的刘维尔型定理 |
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| 引用本文： | 王艳,薛玉莹,韩英波.F-稳态映射的刘维尔型定理[J].信阳师范学院学报(自然科学版),2021(1):16-21. |
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| 作者姓名： | 王艳 薛玉莹 韩英波 |
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| 作者单位： | 1.信阳师范学院数学与统计学院 |
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| 摘 要： | 通过假设径向曲率上的一些条件、F(t)的度和映射在无限远处的渐近条件,得到了从完备流形出发的F-稳态映射的一些刘维尔型定理.特别地,若映射在无限远处的渐近性满足一些条件,则该结果可以应用于从欧几里得空间(Rm,g 0)到一大类黎曼流形上的F-稳态映射.
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| 关 键 词： | F-稳态映射 刘维尔型定理 应力-能量张量 渐近条件 单调公式 |
Liouville Theorems for F-stationary Maps |
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| Institution: | ,College of Mathematics and Statistics,Xinyang Normal University |
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| Abstract: | Some Liouville theorems for F-stationary maps from some complete manifolds are obtained by assuming some conditions on the radial curvature,the degree of F(t)and the asymptotic behavior of the maps at infinity.In particular,the results can be applied to F-stationary maps from the Euclidean space(R~m,g_0)to a large class of Riemannian manifolds by assuming some conditions on the asymptotic behavior of the maps at infinity. |
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| Keywords: | F-stationary map Liouville theorems stress-energy tensor asymptotic behavior monotonicity formula |
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