| 摘要: |
| 本文研究了完备非紧流行上拉普拉斯算子的L2特征形式.利用应力能量张量的方法,得到在此类流形上拉普拉斯算子的L2特征形式的一些不存在性定理。 |
| 关键词: 应力能量张量 微分形式 Hodge 拉普拉斯算子 |
| DOI： |
| 分类号:O186.15 |
| 基金项目:Supported by National Natural Science Foundation of China (11201400; 10971029; 11026062; 11326045); Talent Youth Teacher Fund of Xinyang Normal University; Project for youth teacher of Xinyang Normal University (17(2012)). |
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| THE L2 EIGENFORMS OF THE LAPLACIAN ON COMPLETE MANIFOLDS |
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HAN Ying-bo1, LIN He-zi2
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1.College of Math. and Information Science, Xinyang Normal University, Xinyang 464000, China;2.School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350108, China
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| Abstract: |
| In this paper, we investigate the L2 eigenforms of the Laplacian on complete noncompact manifolds. By using the method of stress energy tensor, we obtain some nonexistence theorems of L2 eigenforms of the Laplacian on these manifolds. |
| Key words: stress energy tensor difierential forms Hodge Laplacian |
