Rays and Souls in Von Mangoldt Planes

Geometry Topology Student Seminar
Wednesday, November 2, 2011 - 14:05
1 hour (actually 50 minutes)
Skiles 005
Emory University
Knowledge of rays and critical points of infinity in von Mangoldt planes can be applied to understanding the structure of open complete manifolds with lower radial curvature bounds. We will show how the set of souls is computed for every von Mangoldt plane of nonnegative curvature. We will also make some observations on the structure of the set of critical points of infinity for von Mangoldt planes with negative curvature.