Equivariant principal bundles over spheres and cohomogeneity one manifolds

Hambleton, Ian; Hausmann, Jean-Claude

doi:10.1112/S0024611502013722

Scientific article

Open access

English

Equivariant principal bundles over spheres and cohomogeneity one manifolds

ContributorsHambleton, Ian; Hausmann, Jean-Claude

Published inProceedings of the London Mathematical Society, vol. 86, no. 1, p. 250-272

Publication date2003

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 $(Pi, G)$-bundles over cohomogeneity one manifolds.

Classification

arxiv : math.GT

Affiliation

Faculté des sciences / Section de mathématiques

Citation (ISO format)

HAMBLETON, Ian, HAUSMANN, Jean-Claude. Equivariant principal bundles over spheres and cohomogeneity one manifolds. In: Proceedings of the London Mathematical Society, 2003, vol. 86, n° 1, p. 250–272. doi: 10.1112/S0024611502013722

Article

Identifiers

PID : unige:12282
DOI : 10.1112/S0024611502013722
arXiv : math/0103134v1

ISSN of the journal0024-6115

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Equivariant principal bundles over spheres and cohomogeneity one manifolds

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 $(Pi, G)$-bundles over cohomogeneity one manifolds.

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