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

Francisco Mart\'in; M. Magdalena Rodr\'iguez

arxiv: 1106.4596 · v1 · pith:3BQSG5PXnew · submitted 2011-06-22 · 🧮 math.DG

Non-simply connected minimal planar domains in H² x R

Francisco Mart\'in , M. Magdalena Rodr\'iguez This is my paper

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keywords connectednon-simplyplanarbi-graphsconjugatedomaindomainsembedded

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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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Non-simply connected minimal planar domains in H² x R

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