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| 摘要: |
| 本文研究了与拉回度量相关的广义泛函Φf.利用f-应力能力张量的方法,得到f-稳态映射的单调公式,消灭定理以及常Dirichlet边值问题在星型区域上的唯一常值解. |
| 关键词: f-稳态映射 f-应力能量张量 单调公式 消灭定理 |
| DOI： |
| 分类号:O186.1 |
| 基金项目:Supported by National Natural Science Foundation of China (10971029; 11201400; 11026062); Project of Henan Provincial Department of Education (2011A110015); Talent Youth Teacher Fund of Xinyang Normal University. |
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| LIOUVILLE TYPE THEOREMS OF f-STATIONARYMAPS OF A FUNCTIONAL RELATED TO PULLBACKMETRICS |
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HAN Ying-bo,FENG Shu-xiang
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| Abstract: |
| In this paper, we investigate a generalized functional Φf related to the pullback metric. By using the method of f-stress energy tensor, we obtain the monotonicity formulas, vanishing theorems and the unique constant solution of the constant Dirichlet boundary value problem on some starlike domain for f-stationary maps. |
| Key words: f-stationary map f-stress-energy tensor monotonicity formula vanishing theorems |
