Research profile

Tarcios Andrey Ferreira

Works on minimal & CMC surfaces, surfaces and self-shrinkers & translators.

NP-RC-112924

5
topics
New work November 2025
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Minimal & CMC surfacesSurfacesSelf-shrinkers & translatorsHomogeneous spacesMean curvature flow

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  1. João Paulo dos Santos

    1 joint worklatest 2025

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Their work in this field since 2021, 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.

2025

math.DGWider flowsv3arXiv:2511.21545

Classification of Minimal Surfaces and Solitons to the Mean Curvature Flow in as Translation Surfaces

Tarcios Andrey Ferreira, João Paulo dos Santos

We consider the hyperbolic three-space in the half-space model endowed with a metric Lie group structure. In this setting, translation surfaces are defined as products of two curves and with respect to the Lie group operation. We investigate minimal surfaces and solitons to the mean curvature flow arising from specific types of products of these curves. In particular, we provide classification results for minimal surfaces, hyperbolic translators, and conformal solitons to the mean curvature flow.

Mean curvature flowSelf-shrinkers & translatorsSurfacesHomogeneous spacesMinimal & CMC surfaces
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NP-RC-112924 is Tarcios Andrey Ferreira'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 2021 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.