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Equivariant principal bundles over spheres and cohomogeneity one manifolds

Ian Hambleton·Jean-Claude Hausmann
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Abstract

We classify 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 cohomogeneity one manifolds.

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Ian Hambleton, Jean-Claude Hausmann. 2001-03-22. Equivariant principal bundles over spheres and cohomogeneity one manifolds. https://arxiv.org/abs/math/0103134

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