Research profile

Jesús Pérez-García

Works on rotational symmetry & warped products, self-shrinkers & translators and mean curvature flow.

NP-RC-498672

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Rotational symmetry & warped productsSelf-shrinkers & translatorsMean 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.

2016

math.DGWider flowsarXiv:1601.07287

Some results on translating solitons of the mean curvature flow

Jesús Pérez-García

In this article we prove two non-existence results for translating solitons of the mean curvature flow (translators for short) in . We also obtain an upper bound to the maximum height that a compact embedded translator in can achieve. On the other hand, we study graphical perturbations of translators, showing that asymptotic graphical perturbations of a graph translator of revolution remain a hypersurface of revolution. Finally, we prove that compact translators that lie between two parallel planes inherit the symmetries of their boundaries curves.

Mean curvature flowSelf-shrinkers & translatorsRotational symmetry & warped products
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