Abstract
In ℍ2 × ℝ” one has catenoids, helicoids and Scherk-type surfaces. A Jenkins-Serrin type theorem holds here. Moreover there exist complete minimal graphs in ℍ2 with arbitrary continuous asymptotic values. Finally, a graph on a domain of ℍ2 cannot have an isolated singularity.
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An erratum to this article is available at http://dx.doi.org/10.1007/BF03259375.
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Nelli, B., Rosenberg, H. “Minimal Surfaces in ℍ2 × ℝ”. Bull Braz Math Soc 33, 263–292 (2002). https://doi.org/10.1007/s005740200013
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DOI: https://doi.org/10.1007/s005740200013