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arXiv · 1304.1923

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

Pascal Collin·Laurent Hauswirth·Harold Rosenberg
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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.

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Pascal Collin, Laurent Hauswirth, Harold Rosenberg. 2013-04-06. Properly immersed minimal surfaces in a slab of H(2)xR, H(2) the hyperbolic plane. https://arxiv.org/abs/1304.1923

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