Equivariant principal bundles over spheres and cohomogeneity one manifolds

Hambleton, Ian; Hausmann, Jean-Claude

doi:10.1112/S0024611502013722

Scientific article

English

Equivariant principal bundles over spheres and cohomogeneity one manifolds

Contributors

Hambleton, Ian; Hausmann, Jean-Claude

Published in

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

Publication date

2003

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

UNIGE affiliation entities

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

Journal ISSN

0024-6115

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28/10/2010 08:52:00

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14/03/2023 16:08:12

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14/03/2023 16:08:12

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29/10/2024 17:19:40

Equivariant principal bundles over spheres and cohomogeneity one manifolds

Contributors

Published in

Publication date

Abstract

Classification

UNIGE affiliation entities

Citation (ISO format)

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Identifiers

Journal ISSN

Technical informations

Creation

First validation

Update

Status update

Last indexation