CC-稳态映射的刘维尔型定理 |
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作者单位: | ;1.信阳师范学院数学与统计学院;2.嘉兴学院数理学院 |
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摘 要: | 引进了从黎曼流形到伪Hermitian流形上映射的水平泛函ΦH,这种泛函的临界映射称为CC-稳态映射.利用水平应力能量张量,得到从黎曼流形出发到伪Hermitian流形上的水平CC-稳态映射和从黎曼流形出发到Sasakian流形上的CC-稳态映射的能量单调公式及刘维尔型结果.
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关 键 词: | CC-稳态映射 伪Hermitian流形 刘维尔型结果 |
Liouville Type Theorems for CC-stationary Maps |
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Affiliation: | ,College of Mathematics and Statistics,Xinyang Normal University,College of Mathematical and Physical Sciences,Jiaxing University |
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Abstract: | A horizontal functionalΦHfor the maps from Riemannian manifold to pseudo-Hermitian manifold was introduced,the critical maps of this functional were called CC-stationary maps.Then by using horizontal stress-energy tensor,some monotonicity formulas and Liouville type theorems were obtained for the horizontal CC-stationary maps from Riemannian manifold to pseudo-Hermitian manifold or the CC-stationary maps from Riemannian manifold to Sasakian manifold. |
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Keywords: | CC-stationary map pseudo-Hermitian manifold Liouville type results |
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