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arXiv 1909.09241math.DGmath.AP
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Nguyen三叉戟与中曲率流的半图变换器分类

Nguyen's Tridents and the Classification of Semigraphical Translators for Mean Curvature Flow

David Hoffman, Francisco Martín, Brian White

摘要:

我们构造了一个单参数族的单周期平移解的中曲率流,收敛的周期趋于$0$工会的一个严峻的收割机表面和一个平面,平分它纵向。这些表面是半图形的:它们被适当地嵌入,并且在去除离散的垂直线集合之后,它们是图形。我们还提供了一个几乎完整的分类semigraphical翻译。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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