Geometry of a class of $\phi$-minimal surfaces in ${\mathbb{H}}^2\times \mathbb{R}$

Katianny Rosa Freitas, João Paulo dos Santos, António Martínez

We study a class of $\phi$-minimal surfaces in the product space ${\mathbb{H}}^2\times \mathbb{R}$, that is, weighted minimal surfaces whose corresponding weight is determined by a smoot…