Constant Mean Curvature Surfaces in ${\mathbb{M}}^2(c)\times \mathbb{R}$ and Finite Total Curvature

Márcio Batista, Marcos P. Cavalcante, Dorel Fetcu

We consider surfaces with parallel mean curvature vector field and finite total curvature in product spaces of type ${\mathbb{M}}^n(c)\times \mathbb{R}$, where ${\mathbb{M}}^n(c)$ is a…