Research profile

David Hartley

Works on volume-preserving & constrained flows, other curvature flows and stability & uniqueness.

NP-RC-3443650000-0002-3216-577X

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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2016

math.DGWider flowsarXiv:1601.04986

Stability of Geodesic Spheres in under Constrained Curvature Flows

David Hartley

In this paper we discuss the stability of geodesic spheres in 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.

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