Dylan Cant — Neckpinchhttps://neckpinch.com/authors/dylan-cant/New arXiv papers by Dylan Cant, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT A Curvature Flow and Applications to an Isoperimetric Inequalityhttps://neckpinch.com/papers/1610.05844/arxiv:1610.05844Wed, 19 Oct 2016 00:00:00 GMTDylan Cant — Long time existence and convergence to a circle is proved for radial graph solutions to a mean curvature type curve flow in warped product surfaces (under a weak assumption on the warp potential of the surface). This curvature flow preserves the area enclosed by the evolving curve, and this fact is used to prove a general isoperimetric inequality applicable to radial graphs in warped product surfaces under weak assumptions on the warp potential.Other curvature flowsLong-time existence & convergenceRotational symmetry & warped productsGeometric inequalities