| EQUIVARIANT SELF EQUIVALENCES OF PRINCIPAL FIBRE BUNDLES |
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| 引用本文： | XIAJIANGUO. EQUIVARIANT SELF EQUIVALENCES OF PRINCIPAL FIBRE BUNDLES[J]. 高校应用数学学报(英文版), 1998, 13(1): 109-116. DOI: 10.1007/s11766-998-0014-6 |
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| 作者姓名： | XIAJIANGUO |
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| 作者单位： | DepartmentofMathematics,NanjingNormalUniversity,Nanjing210097. |
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| 摘 要： | Let E be a compact Lie group, G a closed subgroup of E, and H a closed normal sub-group of G. For principal fibre bundle (E,p, E,/G;G) tmd (E/H,p‘,E/G;G/H), the relation between auta(E) (resp. autce (E)) and autG/H(E/H) (resp. autGe/H(E/H)) is investigated by using bundle map theory and transformation group theory. It will enable us to compute the group JG(E) (resp. SG(E)) while the group J G/u(E/H) is known.
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| 关 键 词： | 基本纤维丛 自等变化 李群 子群 |
| 收稿时间： | 1996-09-24 |
Equivariant self equivalences of principal fibre bundles |
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| Xia Jianguo. Equivariant self equivalences of principal fibre bundles[J]. Applied Mathematics A Journal of Chinese Universities, 1998, 13(1): 109-116. DOI: 10.1007/s11766-998-0014-6 |
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| Authors: | Xia Jianguo |
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| Affiliation: | XIA JIANGUO |
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| Abstract: | Let E be a compact Lie group, G a closed subgroup of E, and H a closed normal subgroup of G. For principal fibre bundle (E,p, E/G;G) and (E/H,p′, E/G;G/H), the relation between autg(E) (resp. aut g * (E)) and aut G H (E/H) (resp. aut g H /*)) is investigated by using bundle map theory and transformation group theory. It will enable us to compute the group Fg(E) (resp. EG(E)) while the group FG/H(E/H) is known. Partially suported by National Natural Science Foundation of China. |
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| Keywords: | G space space of equivariant self homotopy equivalences group of equivariant self equivalences G fibration. |
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