New Examples of Obstructions to Non-Negative Sectional Curvatures in Cohomogeneity One Manifolds
arXiv:0910.5712
Abstract
K. Grove, L. Verdiani, B. Wilking and W. Ziller gave the first examples of cohomogeneity one manifolds which do not carry invariant metrics with non-negative sectional curvatures. In this paper we generalize their results to a larger family. We also classified all class one representations for a pair (G;H) with G/H some sphere, which are used to construct the examples.
44 pages, 4 tables and one appendix