Equivariant self equivalences of principal fibre bundles

被引：0
|
作者：
Xia J. [1 ]
机构：
[1] Department of Mathematics, Nanjing Normal University, Nanjing
来源：
Applied Mathematics-A Journal of Chinese Universities | 1998年 / 13卷 / 1期
基金：
中国国家自然科学基金;
关键词：
G-fibration; G-space; Group of equivariant self equivalences; Space of equivariant self homotopy equivalences;
D O I：
10.1007/s11766-998-0014-6
中图分类号：
学科分类号：
摘要：
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/Gr and (E/H,p',E/G~G/H), the relation between autG(E) (resp. autG* (E)) and autG/H (E/H) (resp. autG/H* (E/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. © 1998, Springer Verlag. All rights reserved.
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页码：109 / 116
页数：7
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