If $M$ is a compact manifold with non-positive sectional curvature, and $\ pi_{1} (M)$ has an abelian subgroup of rank k, then $M$ contains a flat totally geodesic immersed k-torus. I'll present the proof of this theorem, due to Lawson and Yau.
Monday, November 24, 2014 - 4:30pm
UPenn
If $M$ is a compact manifold with non-positive sectional curvature, and $\ pi_{1} (M)$ has an abelian subgroup of rank k, then $M$ contains a flat totally geodesic immersed k-torus. I'll present the proof of this theorem, due to Lawson and Yau.