| RP^n具有Lie群构造的充要条件 |
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| 引用本文： | 徐森林,周坚.RP^n具有Lie群构造的充要条件[J].中国科学技术大学学报,1989,19(4):411-416. |
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| 作者姓名： | 徐森林 周坚 |
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| 作者单位： | 中国科学技术大学数学系，中国科学技术大学数学系 |
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| 基金项目： | Supported partially by TWAS and Chinese Science Fund |
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| 摘 要： | 利用H~3(RP~7)=0证明7维实射影空间RP~7不为Lie群,因此,RP~n为Lie群(或拓扑群)的充要条件是n=0,1,3。
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| 关 键 词： | Lie群 拓扑群 可平行的流形 不变微分形式 |
The Sufficient and Necessary Condition of RP~n With a Lie Group |
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| Xu Senlin,Zhou Jian.The Sufficient and Necessary Condition of RP~n With a Lie Group[J].Journal of University of Science and Technology of China,1989,19(4):411-416. |
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| Authors: | Xu Senlin Zhou Jian |
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| Institution: | Xu Senlin;Zhou Jian Department of Mathematics |
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| Abstract: | The goal of this paper is to prove that 7-dimensional real projective space RP~7 is not a Lie group using H~3 RP~7)=0.Therefore, RP~n is a Lie group (or a topological group) if andonly if n =0,1, 3. |
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| Keywords: | Lie group topological group parallelizable manifold invariant differential form |
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