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Equivariant Principal Bundles Over Spheres and Cohomogeneity One Manifolds
Author(s) -
Hambleton Ian,
Hausmann JeanClaude
Publication year - 2003
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/s0024611502013722
Subject(s) - equivariant map , mathematics , pure mathematics , principal (computer security) , isotropy , mathematics subject classification , physics , quantum mechanics , computer science , operating system
We classify smooth SO( n )‐equivariant principal bundles over S n in terms of their isotropy representations over the north and south poles. This is an example of a general result classifying equivariant (Π, G )‐bundles over manifolds with cohomogeneity 1. 2000 Mathematical Subject Classification: 55R91.