Demetre Kazaras : If Ricci is bounded below, then mass is in control!
The ADM mass of an isolated gravitational system is a geometric invariant measuring the total mass due to matter and other fields. In a previous work, we showed how to compute this invariant (in 3 spatial dimensions) by studying harmonic functions. Now I'll use this formula to consider the question: How flat is an asymptotically flat manifold with very little total mass? In the presence of a lower bound on Ricci curvature, we make progress on this question and confirm special cases of conjectures made by Ilmanen and Sormani.
- Category: Geometry and Topology
- Duration: 01:29:00
- Date: September 20, 2021 at 3:10 PM
- Tags: seminar, Geometry and Topology Seminar