Abstract
In this paper we characterize and classify surfaces in $\mathbb{H}^2 \times \mathbb{R}$ which have a canonical principal direction. Here $\mathbb{H}^2$ denotes the hyperbolic plane. We study some geometric properties such as minimality and flatness. Several examples are given to complete the study.
Citation
Franki Dillen. Marian Ioan Munteanu. Ana-Irina Nistor. "CANONICAL COORDINATES AND PRINCIPAL DIRECTIONS FOR SURFACES IN $\mathbb{H}^2 × \mathbb{R}$." Taiwanese J. Math. 15 (5) 2265 - 2289, 2011. https://doi.org/10.11650/twjm/1500406434
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