Three manifolds with nonnegative Ricci curvature
Time: 2013-06-21
Published By:
Speaker(s): Dr. Gang Liu (Berkeley)
Time: 00:00-00:00 June 21, 2013
Venue: Room 29 at Quan Zhai, BICMR
Speaker: Dr. Gang Liu (Berkeley)
Time: 9:30-11:30 am, June 21 (Friday)
Venue: Room 29 at Quan Zhai, BICMR
Abstract: Let M be a complete noncompact three manifold with nonnegative Ricci curvature(not necessarily orientable). We show M is either diffeomorphic to R^3 or the universal cover splits as a Riemann product of a real line and a two dimensional surface with nonnegative Gaussian curvature. As a corollary, this confirms a conjecture of Milnor in dimension three.