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arXiv · 1508.01539

A characterization of the grim reaper cylinder

Francisco Martin·Jesus Perez-Garcia·Andreas Savas-Halilaj·Knut Smoczyk
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Abstract

In this article we prove that a connected and properly embedded translating soliton in $\mathbb{R}^3$ with uniformly bounded genus on compact sets which is $C^1$-asymptotic to two planes outside a cylinder, either is flat or coincides with the grim reaper cylinder.

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Francisco Martin, Jesus Perez-Garcia, Andreas Savas-Halilaj, Knut Smoczyk. 2015-08-06. A characterization of the grim reaper cylinder. https://arxiv.org/abs/1508.01539

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