https://neckpinch.com/authors/gilles-carron/New arXiv papers by Gilles Carron, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2207.07003/arxiv:2207.07003Thu, 14 Jul 2022 00:00:00 GMTGilles Carron, Eric Chen, Yi Wang — We study the Yamabe flow on asymptotically flat manifolds with non-positive Yamabe constant Y≤ 0. Previous work by the second and third named authors showed that while the Yamabe flow always converges in a global weighted sense when Y>0, the flow must diverge when Y≤ 0. We show here in the Y≤ 0 case however that after suitable rescalings, the Yamabe flow starting from any asymptotically flat manifold must converge to the unique positive function which solves the Yamabe problem on a compactification of the original manifold.Yamabe flowBoundaries & non-compact