The extrinsic curvature of entire minimal graphs in $\mathbb{H}^{2} \times \mathbb{R}$ J. EspinarM. Magdalena RodriguezHarold Rosenberg 53A10minimal graphsproduct space We obtain an optimal estimate for the extrinsic curvature of an entire minimal graph in $\mathbb{H}^2 \times \mathbb{R}$, $\mathbb{H}^2$ the hyperbolic plane. Indiana University Mathematics Journal 2010 text pdf 10.1512/iumj.2010.59.3983 10.1512/iumj.2010.59.3983 en Indiana Univ. Math. J. 59 (2010) 875 - 890 state-of-the-art mathematics http://iumj.org/access/