Equivariant principal bundles over spheres and cohomogeneity one manifolds

Details Equivariant principal bundles over spheres and cohomogeneity one manifolds Equivariant principal bundles over spheres and cohomogeneity one manifolds

2001-03-22

arxiv.org/abs/math/0103134v1

Mathematics

Geometric Topology

25 pages, Max Planck Institut fuer Mathematik Preprint 2001-18

Scientific paper

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.

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