EQUIVARIANT PRINCIPAL BUNDLES OVER SPHERES AND COHOMOGENEITY ONE MANIFOLDS

EQUIVARIANT PRINCIPAL BUNDLES OVER SPHERES AND COHOMOGENEITY ONE MANIFOLDS

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. 2000 Mathematical Subject Classi...

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Veröffentlicht in:Proceedings of the London Mathematical Society 2003-01, Vol.86 (1), p.250-272, Article 250
Hauptverfasser: HAMBLETON, IAN, HAUSMANN, JEAN-CLAUDE
Format: Artikel
Sprache:eng
Schlagworte:
equivariant fibre bundles
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Zusammenfassung: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. 2000 Mathematical Subject Classification: 55R91.
ISSN:0024-6115
1460-244X
DOI:10.1112/S0024611502013722