https://neckpinch.com/authors/david-hartley/New arXiv papers by David Hartley, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1601.04986/arxiv:1601.04986Tue, 19 Jan 2016 00:00:00 GMTDavid Hartley — In this paper we discuss the stability of geodesic spheres in Sⁿ⁺¹ under constrained curvature flows. We prove that under some standard assumptions on the speed and weight functions, the spheres are stable under perturbations that preserve a volume type quantity. This extends results by Escher and Simonett, 1998, and the author, 2015, to a Riemannian manifold setting.Other curvature flowsVolume-preserving & constrained flowsStability & uniqueness