Geodesic
A Note on Surfaces in $\mathbb{H}^2 \times \mathbb{R}$
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 939-950

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In this article we consider surfaces in the product space $\mathbb{H}^2 \times \mathbb{R}$ of the hyperbolic plane $\mathbb{H}^2$ with the real line. The main results are: a description of some geometric properties of minimal graphs; new examples of complete minimal graphs; the local classification of totally umbilical surfaces. 
@article{BUMI_2007_8_10B_3_a33,
     author = {Montaldo, Stefano and Onnis, Irene I.},
     title = {A {Note} on {Surfaces} in $\mathbb{H}^2 \times \mathbb{R}$},
     journal = {Bollettino della Unione matematica italiana},
     pages = {939--950},
     publisher = {mathdoc},
     volume = {Ser. 8, 10B},
     number = {3},
     year = {2007},
     zbl = {1183.53055},
     mrnumber = {2507907},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a33/}
}
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Montaldo, Stefano; Onnis, Irene I. A Note on Surfaces in $\mathbb{H}^2 \times \mathbb{R}$. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 939-950. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a33/