Nguyen's tridents and the classification of semigraphical translators for mean curvature flow
Identificadores
URI: http://hdl.handle.net/10481/73846Metadatos
Mostrar el registro completo del ítemEditorial
De Gruyter
Fecha
2022-02-01Referencia bibliográfica
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]
Patrocinador
MCIN/AEI PID2020-116126-I00; Junta de Andalucia ERDEF PY20-01391; National Science Foundation (NSF) DMS-1711293Resumen
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.