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.
Geometry-Topology Seminar
Thursday, April 10, 2008 - 4:30pm
Lorenz Schwachhoefer
Universitaet Dortmund