https://neckpinch.com/authors/jesus-perez-garcia/New arXiv papers by Jesús Pérez-García, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1601.07287/arxiv:1601.07287Wed, 27 Jan 2016 00:00:00 GMTJesús Pérez-García — In this article we prove two non-existence results for translating solitons of the mean curvature flow (translators for short) in ℝ^(m+1). We also obtain an upper bound to the maximum height that a compact embedded translator in ℝ³ 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