“Minimal Surfaces in ℍ2 × ℝ”
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.
Keywordsminimal graph hyperbolic plane
Mathematical subject classification53A10
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