| 拟爱因斯坦度量的势函数估计 |
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| 引用本文： | 毛晶晶,胡玲娟,王林峰.拟爱因斯坦度量的势函数估计[J].南通工学院学报(自然科学版),2011(3):71-73. |
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| 作者姓名： | 毛晶晶 胡玲娟 王林峰 |
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| 作者单位： | 南通大学理学院,江苏南通226007 |
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| 基金项目： | 国家自然科学基金项目（10871070,10971066） |
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| 摘 要： | 拟爱因斯坦度量是Ricci孤立子的一般形式.如果流形非紧,关于闭流形上拟爱因斯坦度量的势函数估计还没有结果.文章应用关于数量曲率估计的结果得到了完备非紧黎曼流形上关于拟爱因斯坦度量势函数的下界估计,并给出一个拟爱因斯坦度量的例子.
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| 关 键 词： | 拟爱因斯坦度量 势函数 黎曼流形 |
Estimates of Potential Function for Quasi-Einstein Metrics |
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| Authors: | MAO Jing-jing HU Ling-juan WANG Lin-feng |
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| Institution: | (School of Sciences, Nantong University, Nantong 226007, China) |
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| Abstract: | The quasi-Einstein metric is the general form of the Ricci soliton. The estimates of the scalar curvatures and the potential function for quasi-Einstein metrics on closed manifolds have been researched by many scholars. But there is no result about the estimate of the potential function when the manifold is noncompact. In this paper, lower bound estimates of the potential function for quasi-Einstein metrics on complete noncompact have been obtained in Riemannian manifolds by using the estimate of the scalar curvature, and an example of the quasi-Einstein metrich has also been given. |
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| Keywords: | quasi-Einstein metrics potential function Riemannian manifold |
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