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Equivariant self equivalences of principal fibre bundles

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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 HG (E/H) (resp. aut Hg /*)) 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.

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Authors and Affiliations

  1. Department of Mathematics, Nanjing Normal University, 210097, Nanjing

    Xia Jianguo

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  1. Xia Jianguo
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Partially suported by National Natural Science Foundation of China.

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Jianguo, X. Equivariant self equivalences of principal fibre bundles. Appl. Math. Chin. Univ. 13, 109–116 (1998). https://doi.org/10.1007/s11766-998-0014-6

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  • DOI: https://doi.org/10.1007/s11766-998-0014-6

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