Rotators-translators to mean curvature flow in $\mathbb {H}^2\times \mathbb {R}$

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发表日期：

2024年11月21日

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R. F. de Lima,
A. K. Ramos,
J. P. dos Santos

摘要

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

Rotators-translators to mean curvature flow in \(\mathbb {H}^2\times \mathbb {R}\)

摘要