Research profile

Jérôme Vétois

Works on sphere theorems, volume-preserving & constrained flows and rotational symmetry & warped products.

NP-RC-623654

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Sphere theoremsVolume-preserving & constrained flowsRotational symmetry & warped productsSingularitiesMean 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.

2017

math.APWider flowsv3arXiv:1705.10839

Convergence result and blow-up examples for the Guan–Li mean curvature flow on warped product spaces

Jérôme Vétois

We examine the question of convergence of solutions to a geometric flow which was introduced by Guan and Li for starshaped hypersurfaces in space forms and generalized by Guan, Li, and Wang to the case of warped product spaces. We obtain a convergence result under a condition on the optimal modulus of continuity of the initial data. Moreover we show by examples that this condition is optimal at least in the one-dimensional case.

Mean curvature flowVolume-preserving & constrained flowsSingularitiesSphere theoremsRotational symmetry & warped products
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NP-RC-623654 is Jérôme Vétois'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.