Research profile

Bo Berndtsson

Works on mean curvature flow.

NP-RC-4160150000-0003-1418-0260

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Mean curvature flow

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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.

2018

math.CVWider flowsv2arXiv:1805.00379

Superforms, supercurrents, minimal manifolds and Riemannian geometry

Bo Berndtsson

Supercurrents, as introduced by Lagerberg, were mainly motivated as a way to study tropical varieties. Here we will associate a supercurrent to any smooth submanifold of . Positive supercurrents resemble positive currents in complex analysis, but depend on a choice of scalar product on and reflect the induced Riemannian structure on the submanifold. In this way we can use techniques from complex analysis to study real submanifolds. We illustrate the idea by giving area estimates of minimal manifolds and a monotinicity property of the mean curvature flow. We also illustrate the idea by a relatively short proof of Weyl's tube formula.

Mean curvature flow
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NP-RC-416015 is Bo Berndtsson'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. How it is put together.