Talk
Cohomogeneity one manifolds with nonnegative curvature
- Lorenz Schwachhöfer (Technische Universität Dortmund, Fakultät für Mathematik, Germany)
Abstract
Most of the known examples of closed manifolds with nonnegative sectional curvature admit an isometric group actions of cohomogeneity one. On the other hand, not all cohomogeneity one manifolds admit invariant metrics of nonnegative curvature. In this talk, we shall discuss existence and non-existence results for nonnegatively curved metrics under the additional hypothesis that there is a totally geodesic principle orbit.
