Seminar: Uniqueness of the asymptotic limits for Ricci-flat manifolds with linear volume growth

Seminar| Institute of Mathematical Sciences

Time:Tuesday, September 2th, 2025,13:30-14:30

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.