https://neckpinch.com/authors/jeffrey-l-jauregui/New arXiv papers by Jeffrey L. Jauregui, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1602.00732/arxiv:1602.00732Mon, 01 Feb 2016 00:00:00 GMTJeffrey L. Jauregui, Dan A. Lee — Given a sequence of asymptotically flat 3-manifolds of nonnegative scalar curvature with outermost minimal boundary, converging in the pointed C⁰ Cheeger–Gromov sense to an asymptotically flat limit space, we show that the total mass of the limit is bounded above by the liminf of the total masses of the sequence. In other words, total mass is lower semicontinuous under such convergence. In order to prove this, we use Huisken's isoperimetric mass concept, together with a modified weak mean curvature flow argument. We include a brief discussion of Huisken's work before explaining our extension of that work. The results are all specific to three dimensions.Mean curvature flow3-manifoldsScalar curvatureBoundaries & non-compactGeometric inequalities