Nguyen's tridents and the classification of semigraphical translators for mean curvature flow
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Published version: Hoffman, D., Martín, F. & White, B. (2022). Nguyen’s tridents and the classification of semigraphical translators for mean curvature flow. Journal für die reine und angewandte Mathematik (Crelles Journal), (). [https://doi.org/10.1515/crelle-2022-0005]
SponsorshipMCIN/AEI PID2020-116126-I00; Junta de Andalucia ERDEF PY20-01391; National Science Foundation (NSF) DMS-1711293
We construct a one-parameter family of singly periodic translating solutions to mean curvature ow 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 classi cation of semigraphical translators.