https://neckpinch.com/authors/rafe-mazzeo/New arXiv papers by Rafe Mazzeo, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2303.04800/arxiv:2303.04800Wed, 08 Mar 2023 00:00:00 GMTEric Bahuaud, Christine Guenther, James Isenberg, Rafe Mazzeo — We prove that the Ricci flow for complete metrics with bounded geometry depends continuously on initial conditions for finite time with no loss of regularity. This relies on our recent work where sectoriality for the generator of the Ricci-DeTurck flow is proved. We use this to prove that for initial metrics sufficiently close in Hölder norm to a rotationally symmetric asymptotically hyperbolic metric and satisfying a simple curvature condition, but a priori distant from the hyperbolic metric, Ricci flow converges to the hyperbolic metric.Ricci flowSingularitiesStability & uniquenessBoundaries & non-compactHarmonic maps & DeTurck trickRotational symmetry & warped products