平均曲率流的Scherk-like翻译器

IF 1.3 1区数学 Q1 MATHEMATICS

Journal of Differential Geometry Pub Date : 2019-03-11 DOI:10.4310/jdg/1675712995

D. Hoffman, F. Mart'in, B. White

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引用次数: 22

摘要

我们证明了平均曲率流的一个双参数翻译器族的存在性和唯一性。通过在参数空间的边界上取极限，我们得到了更多的例子。一些翻译者类似于众所周知的极小曲面（Scherk的双周期极小曲面，螺旋曲面），但其他翻译者没有极小曲面的类似物。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Scherk-like translators for mean curvature flow

We prove existence and uniqueness for a two-parameter family of translators for mean curvature flow. We get additional examples by taking limits at the boundary of the parameter space. Some of the translators resemble well-known minimal surfaces (Scherk's doubly periodic minimal surfaces, helicoids), but others have no minimal surface analogs.

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来源期刊

Journal of Differential Geometry 数学-数学

CiteScore

3.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes the latest research in differential geometry and related areas of differential equations, mathematical physics, algebraic geometry, and geometric topology.