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

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.Comment: 10 pages, 4 figures. arXiv admin note: text overlap with arXiv:2307.1413