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

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

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…