Corey A. Hoelscher
Published 2007-12-09Version 1
A cohomogeneity one manifold is a manifold with the action of a compact Lie group, whose quotient is one dimensional. Such manifolds are of interest in Riemannian geometry, in the context of nonnegative sectional curvature, as well as in other areas of geometry and in physics. In this paper we classify compact simply connected cohomogeneity one manifolds in dimensions 5, 6 and 7. We also show that all such manifolds admit metrics of nonnegative sectional curvature, with the possible exception of two families of manifolds.
Cheeger manifolds and the classification of biquotients
On the classification of warped product Einstein metrics
The classification and curvature of biquotients of the form $Sp(3)//Sp(1)^2$
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