Journal article
Equivariant Principal Bundles Over Spheres and Cohomogeneity One Manifolds
Abstract
We classify smooth ${\rm SO}(n)$-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 $(\Pi, G)$-bundles over manifolds with cohomogeneity 1.
Authors
Hambleton I; Hausmann J
Journal
Proceedings of the London Mathematical Society, Vol. 86, No. 1, pp. 250–272
Publisher
Wiley
Publication Date
1 2003
DOI
10.1112/s0024611502013722
ISSN
0024-6115