Nguyen's Tridents and the Classification of Semigraphical Translators for Mean Curvature Flow
Autor: | Hoffman, David, Martín, Francisco, White, Brian |
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Rok vydání: | 2019 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | 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. Comment: 26 pages, 5 Figures. J. Reine Angew. Math., to appear |
Databáze: | arXiv |
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