Seminars & Colloquia Calendar
On the escape rate of an open manifold with nonnegative Ricci curvature
Jiayin Pan (UCSB)
Location: zoom link: https://rutgers.zoom.us/j/96839448491?pwd=NHNWcVFKTWpkRDZWcVVhVm9mYTNGUT09
Date & time: Tuesday, 03 November 2020 at 3:50PM - 4:50PM
We study the fundamental groups of open n-manifolds with nonnegative Ricci curvature. They are known to be virtually nilpotent in general. We introduce a quantity, escape rate, that measures how fast the representing geodesic loops escape from bounded balls. We show that if the escape rate is less than some positive constant epsilon(n), then the fundamental group is virtually abelian.