Pierre Bayard — Neckpinchhttps://neckpinch.com/authors/pierre-bayard/New arXiv papers by Pierre Bayard, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT Entire downward solitons to the scalar curvature flow in Minkowski spacehttps://neckpinch.com/papers/2002.07685/arxiv:2002.07685Tue, 18 Feb 2020 00:00:00 GMTPierre Bayard — Existence and uniqueness in Minkowski space of entire downward translating solitons with prescribed values at infinity for a scalar curvature flow equation. The radial case translates into an ordinary differential equation and the general case into a fully non-linear elliptic PDE on R^n.Other curvature flowsSelf-shrinkers & translatorsScalar curvatureStability & uniqueness