Equivariant principal bundles over spheres and cohomogeneity one manifolds Academic Article uri icon

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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.

publication date

  • January 1, 2003