Research profile

Icaro Gonçalves

Works on boundaries & non-compact, singularities and mean curvature flow.

NP-RC-1502520000-0002-4381-451X

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Boundaries & non-compactSingularitiesMean curvature flow

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  1. Leonardo F. Cavenaghi

    1 joint worklatest 2019

  2. Marcos M. Alexandrino

    1 joint worklatest 2019

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Papers

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.

2019

math.DGWider flowsv4arXiv:1909.04201

On Mean curvature flow of Singular Riemannian foliations: Non compact cases

Marcos M. Alexandrino, Leonardo F. Cavenaghi, Icaro Gonçalves

In this paper we investigate the mean curvature flow (MCF) of a regular leaf of a closed generalized isoparametric foliation as initial datum, generalizing previous results of Radeschi and first author. We show that, under bounded curvature conditions, any finite time singularity is a singular leaf, and the singularity is of type I. We also discuss the existence of basin of attractions, how cylinder structures can affect convergence of basic MCF of immersed submanifolds and make a few remarks on MCF of non closed leaves of generalized isoparametric foliation.

Mean curvature flowSingularitiesBoundaries & non-compact
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NP-RC-150252 is Icaro Gonçalves'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.

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