On the characterization of minimal surfaces with finite total curvature in ${\mathbb{H}}^2\times \mathbb{R}$ and ${\widetilde{\mathrm{PSL}}}_2(\mathbb{R},\tau )$

Laurent Hauswirth, Ana Menezes, Magdalena Rodríguez

It is known that a complete immersed minimal surface with finite total curvature in ${\mathbb{H}}^2\times \mathbb{R}$ is proper, has finite topology and each one of its ends is asymptot…