Nguyen’s tridents and the classification of semigraphical translators for mean curvature flow
-
David Hoffman
,
Francisco Martín
and
Brian White
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.
Funding source: Agencia Estatal de Investigación
Award Identifier / Grant number: PID2020-116126-I00
Funding source: National Science Foundation
Award Identifier / Grant number: DMS-1711293
Funding statement: The second author was partially supported by the MCIN/AEI grant no. PID2020-116126-I00 and by the Regional Government of Andalusia and ERDEF grant no. PY20-01391. The third author was partially supported by NSF grant no. DMS-1711293.
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Articles in the same Issue
- Frontmatter
- Simultaneous supersingular reductions of CM elliptic curves
- Almost all entries in the character table of the symmetric group are multiples of any given prime
- K-stability of cubic fourfolds
- Nguyen’s tridents and the classification of semigraphical translators for mean curvature flow
- A description of monodromic mixed Hodge modules
- The Lawson surfaces are determined by their symmetries and topology
- CMC hypersurfaces with bounded Morse index
- On Montgomery’s pair correlation conjecture: A tale of three integrals
- Kähler spaces with zero first Chern class: Bochner principle, Albanese map and fundamental groups
Articles in the same Issue
- Frontmatter
- Simultaneous supersingular reductions of CM elliptic curves
- Almost all entries in the character table of the symmetric group are multiples of any given prime
- K-stability of cubic fourfolds
- Nguyen’s tridents and the classification of semigraphical translators for mean curvature flow
- A description of monodromic mixed Hodge modules
- The Lawson surfaces are determined by their symmetries and topology
- CMC hypersurfaces with bounded Morse index
- On Montgomery’s pair correlation conjecture: A tale of three integrals
- Kähler spaces with zero first Chern class: Bochner principle, Albanese map and fundamental groups
