Juan J. Villamarín — Neckpinchhttps://neckpinch.com/authors/juan-j-villamarin/New arXiv papers by Juan J. Villamarín, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT Singular Ricci Flows on surfaces with boundary and positive scalar curvaturehttps://neckpinch.com/papers/2310.20555/arxiv:2310.20555Tue, 31 Oct 2023 00:00:00 GMTJean C. Cortissoz, Juan J. Villamarín — We study the subsequential convergence of singular solutions to the Ricci flow with prescribed constant in space geodesic curvature on compact surfaces with boundary. Furthermore, we show that in the particular case of rotational symmetry, this convergence does not depend on the sign of the geodesic curvature of the boundary.Ricci flowSurfacesScalar curvatureWeak & singular flowsRotational symmetry & warped products