Nguyen’s tridents and the classification of semigraphical translators for mean curvature flow-Reference-Cited by-同舟云学术

Nguyen’s tridents and the classification of semigraphical translators for mean curvature flow

Published:2022-03-01 Issue:786 Volume:2022 Page:79-105
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:en
Short-container-title:

Author:

Hoffman David¹^ORCID,Martín Francisco²^ORCID,White Brian¹^ORCID

Affiliation:

1. Department of Mathematics , Stanford University , Stanford , CA 94305 , USA

2. Departmento de Geometría y Topología. IMAG , Universidad de Granada , 18071 Granada , Spain

Abstract

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.

Funder

Agencia Estatal de Investigación

National Science Foundation

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2022-0005/pdf

Reference14 articles.

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2. H. Fujimoto, On the number of exceptional values of the Gauss maps of minimal surfaces, J. Math. Soc. Japan 40 (1988), no. 2, 235–247.