Proc. London Math. Soc.
Abstract of Paper PLMS 1372

Ian Hambleton and Jean-Claude Hausmann

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 Classification: 55R91.

Keywords: equivariant fibre bundles.

E-mail: ian@math.mcmaster.ca, hausmann@math.unige.ch


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