Equivariant principal bundles over spheres and cohomogeneity one manifolds

• Autores: Ian Hambleton, Jean-Claude Hausmann
• Localización: Proceedings of the London Mathematical Society, ISSN 0024-6115, Vol. 86, Nº 1, 2003, págs. 250-272
• Idioma: inglés
• DOI: 10.1112/s0024611502013722
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• Resumen

  • 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.