Thu, April 17, 2014
1:50 pm - 2:50 pm
MA 317
Title: Ends of finite volume, negatively curved manifolds
Speaker: Tam Nguyen Phan, Binghamton University
Seminar Type: Geometric Group Theory
Abstract: Let M be an oriented, noncompact, complete, Riemannian manifold. Gromov proved that if the sectional curvature of M negative and bounded, and if the volume of M is finite, then M is homeomorphic to the interior of a compact manifold \(\overline{M}\) with boundary B. I will discuss the question what manifold B can be. I will prove that when M has dimension 4, each boundary component of \(\overline{M}\) is aspherical.