Resumen de Equivariant principal bundles over spheres and cohomogeneity one manifolds

Ian Hambleton, Jean-Claude Hausmann

• 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.