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arXiv · 2310.06980

Uniqueness of Semigraphical Translators

Francisco Martín·Mariel Sáez·Raphael Tsiamis
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Abstract

We prove a conjecture by Hoffman, White, and the first author regarding the uniqueness of pitchfork and helicoid translators of the mean curvature flow in $\mathbb{R}^3$. We employ an arc-counting argument motivated by Morse-Rad\'o theory for translators and a rotational maximum principle. Applications to the classification of semigraphical translators in $\mathbb{R}^3$ and their limits are discussed, strengthening compactness results of the first author with Hoffman-White and with Gama-Moller.

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Francisco Martín, Mariel Sáez, Raphael Tsiamis. 2023-10-10. Uniqueness of Semigraphical Translators. https://arxiv.org/abs/2310.06980

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