Equivariant principal bundles over spheres and cohomogeneity one manifolds

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.

arXiv comment25 pages, Max Planck Institut fuer Mathematik Preprint 2001-18