Research profile

Dylan Cant

Works on geometric inequalities, rotational symmetry & warped products and long-time existence & convergence.

NP-RC-598583

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Geometric inequalitiesRotational symmetry & warped productsLong-time existence & convergenceOther curvature flows

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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:1610.05844

A Curvature Flow and Applications to an Isoperimetric Inequality

Dylan 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
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NP-RC-598583 is Dylan Cant's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.

A window on one part of a person's work: papers here go back to 2016 and cover Ricci flow and its neighbouring flows, with the older work the site recommends, so this page is no measure of anyone's whole output. Being listed is not an endorsement by or of the person. If two people share this name, their work may appear together here. How it is put together.