In H^2 x R one has catenoids, helicoids and Scherk-type surfaces. A Jenkins-Serrin type theorem holds here. Moreover there exist complete minimal graphs in H^2xR with arbitrary continuous asymptotic values. Finally, a graph on a domain of H^2 cannot have an isolated singularity.
Minimal Surfaces in H^2xR,
NELLI, BARBARA;
2002-01-01
Abstract
In H^2 x R one has catenoids, helicoids and Scherk-type surfaces. A Jenkins-Serrin type theorem holds here. Moreover there exist complete minimal graphs in H^2xR with arbitrary continuous asymptotic values. Finally, a graph on a domain of H^2 cannot have an isolated singularity.File in questo prodotto:
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