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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/22044
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