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# 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**Views**: 463-
**Tags:**seminar, Geometry and Topology Seminar

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