A characterization of the grim reaper cylinder
classification
🧮 math.DG
math.AP
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cylindergrimreaperarticleasymptoticboundedcharacterizationcoincides
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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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