Cohomogeneity one manifolds with a small family of invariant metrics |
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Authors: | Chenxu He |
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Institution: | 1.Department of Mathematics,University of Pennsylvania,Philadelphia,USA |
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Abstract: | In this paper, we classify compact simply connected cohomogeneity one manifolds up to equivariant diffeomorphism whose isotropy
representation by the connected component of the principal isotropy subgroup has three or less irreducible summands. The manifold
is either a bundle over a homogeneous space or an irreducible symmetric space. As a corollary such manifolds admit an invariant
metric with non-negative sectional curvature. |
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Keywords: | |
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