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arXiv · 1909.09241

Nguyen's Tridents and the Classification of Semigraphical Translators for Mean Curvature Flow

David Hoffman·Francisco Martín·Brian White
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Abstract

We construct a one-parameter family of singly periodic translating solutions to mean curvature flow that converge as the period tends to $0$ to the union of a grim reaper surface and a plane that bisects it lengthwise. The surfaces are semigraphical: they are properly embedded, and, after removing a discrete collection of vertical lines, they are graphs. We also provide a nearly complete classification of semigraphical translators.

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David Hoffman, Francisco Martín, Brian White. 2019-09-19. Nguyen's Tridents and the Classification of Semigraphical Translators for Mean Curvature Flow. https://arxiv.org/abs/1909.09241

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