Non-simply connected minimal planar domains in H^2 x R

Details Non-simply connected minimal planar domains in H^2 x R Non-simply connected minimal planar domains in H^2 x R

2011-06-22

arxiv.org/abs/1106.4596v1

Mathematics

Differential Geometry

18 pages, 9 figures

Scientific paper

We prove that any non-simply connected planar domain can be properly and
minimally embedded in H^2 x R. The examples that we produce are vertical
bi-graphs, and they are obtained from the conjugate surface of a Jenkins-Serrin
graph.

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