https://neckpinch.com/authors/ben-lowe/New arXiv papers by Ben Lowe, from Neckpinch Tue, 03 Nov 2026 07:43:57 GMT https://neckpinch.com/papers/2110.09451/arxiv:2110.09451Mon, 18 Oct 2021 00:00:00 GMTBen Lowe, Andre Neves — On any closed hyperbolizable 3-manifold, we find a sharp relation between the minimal surface entropy (introduced by Calegari-Marques-Neves) and the average area ratio (introduced by Gromov), and we show that, among metrics g with scalar curvature greater than or equal to -6, the former is maximized by the hyperbolic metric. One corollary is to solve a conjecture of Gromov regarding the average area ratio. Our proofs use Ricci flow with surgery and laminar measures invariant under a PSL(2,R)-action.Ricci flowSurgery3-manifoldsScalar curvatureMinimal & CMC surfaces