In H^2xR one has catenoids, helicoids and Scherk's type surfaces. A Jenkins-Serrin type theorem holds here. Moreover there exists complete minimal graphs in H^2xR with arbitrary continuous asymptotic values. Finally a minimal graph on a domain of H^2 cannot have an isolated singularity.
Errata "Minimal Surfaces in H^2x R"; [Bull. Braz. Math. Soc., New Series 33 (2002), 263-292]
NELLI, BARBARA;
2007-01-01
Abstract
In H^2xR one has catenoids, helicoids and Scherk's type surfaces. A Jenkins-Serrin type theorem holds here. Moreover there exists complete minimal graphs in H^2xR with arbitrary continuous asymptotic values. Finally a minimal graph on a domain of H^2 cannot have an isolated singularity.File in questo prodotto:
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