[IMS Seminar] Uniqueness of the asymptotic limits for Ricci-flat manifolds with linear volume growth

Venue

Room S408, SCA

Abstract

We prove uniqueness of asymptotic limits for complete non-compact Ricci-flat manifolds with linear volume growth. Under mild regularity assumptions, the limit is cylindrical with exponential convergence. In dimension four, no extra assumptions are needed, giving uniqueness and exponential convergence for all Ricci-flat 4-manifolds with linear growth.