Rotators-Translators to Mean Curvature Flow in $\mathbb H^2\times\mathbb R$

Ronaldo F. de Lima; Álvaro K. Ramos; João Paulo dos Santos

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arXiv · 2402.04757

Rotators-Translators to Mean Curvature Flow in $\mathbb H^2\times\mathbb R$

Ronaldo F. de Lima·Álvaro K. Ramos·João Paulo dos Santos

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Abstract

We establish the existence of one-parameter families of helicoidal surfaces of $\mathbb H^2\times\mathbb R$ which, under mean curvature flow, simultaneously rotate about a vertical axis and translate vertically.

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Ronaldo F. de Lima, Álvaro K. Ramos, João Paulo dos Santos. 2024-02-07. Rotators-Translators to Mean Curvature Flow in $\mathbb H^2\times\mathbb R$. https://arxiv.org/abs/2402.04757

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