Research profile

Adriana Araujo Cintra

Works on self-shrinkers & translators and mean curvature flow.

NP-RC-931336

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Self-shrinkers & translatorsMean curvature flow

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  1. Benedito Leandro

    1 joint worklatest 2019

  2. Hiuri Fellipe Santos dos Reis

    1 joint worklatest 2019

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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.

2019

math.DGWider flowsarXiv:1904.12015

A family of MCF solutions for the Heisenberg Group

Benedito Leandro, Adriana Araujo Cintra, Hiuri Fellipe dos Santos Reis

The aim of this paper is to investigate the mean curvature flow soliton solutions on the Heisenberg group when the initial data is a ruled surface by straight lines. We give a family of those solutions which are generated by (the isometries of for which the origin is a fix point). We conclude that the function which describe the motion of these surfaces under MCF, is always a linear affine function. As an application we proof that the Grim Reaper solution evolves from a ruled surface in . We also provide other examples.

Mean curvature flowSelf-shrinkers & translators
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NP-RC-931336 is Adriana Araujo Cintra'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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