9 citations · 14 across the 4 of their papers we have counts for
4 papers
Diffeomorphism type of 6-dimensional cohomogeneity one manifolds
Corey A. Hoelscher
In this paper we give a full diffeomorphism characterization of compact simply connected cohomogeneity one manifolds in dimension six.
On the homology of low dimensional cohomogeneity one manifolds
Corey A. Hoelscher
In this paper we give a characterization of the possible homology groups that can occur for compact simply connected cohomogeneity one manifolds in dimensions seven and lower.
Nonnegative Curvature on Low Dimensional Cohomogeneity One Manifolds
Corey A. Hoelscher
This paper has been withdrawn by the author due to a critical error in the proof of Theorem A pointed out by Burkhard Wilking.
Classification of Cohomogeneity One Manifolds in Low Dimensions
Corey A. Hoelscher
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…