Minimal surfaces of finite total curvature in ${\mathbb{M}}^2\times \mathbb{R}$

The goal of this article is to study minimal surfaces in $$\mathbb{M}$^2 \times $\mathbb{R}$$havingfinitetotalcurvature,where$$\mathbb{M}$^2$ is a Hadamard manifold. The main result gives a formula to compute the total curvature in terms of topological, geometrical and conformal data of the minimal surface. In particular, we prove the total curvature is an integral multiple of $2\pi$.