Properly immersed minimal surfaces in a slab of H(2)xR, H(2) the hyperbolic plane

2013/04/06 by Pascal Collin, Collin, Pascal, Laurent Hauswirth +3
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1304.1923

arXiv admin note: text overlap with arXiv:1304.1773

arxiv created 2013/04/06 · arxiv updated 2013/04/09

Abstract

We prove that the ends of a properly immersed simply or one connected minimal surface in H(2)xR contained in a slab of height less than πof H(2)xR, are multi-graphs. When such a surface is embedded then the ends are graphs. When embedded and simply connected, it is an entire graph.

Citations

• Minimal surfaces in finite volume hyperbolic 3-manifolds N and in MxS(1), M a finite area hyperbolic surface

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