Cohomogeneity one manifolds with singly generated rational cohomology II
Differential Geometry
2021-08-26 v1
Abstract
We classify cohomogeneity one actions on smooth, simply connected, closed manifolds with the rational cohomology of a sphere. In particular, we show that such a manifold is diffeomorphic to a sphere, a Brieskorn variety, the Wu manifold , one of two homogeneous spaces of the form ,or a member of a particular four-parameter family of -manifolds.
Keywords
Cite
@article{arxiv.2108.10919,
title = {Cohomogeneity one manifolds with singly generated rational cohomology II},
author = {Jason DeVito},
journal= {arXiv preprint arXiv:2108.10919},
year = {2021}
}