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arXiv · 1311.4629

$H$-Surfaces with Arbitrary Topology in Hyperbolic 3-Space

Baris Coskunuzer
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Abstract

In this paper, we show that any open orientable surface S can be properly embedded in H^3 as a minimizing H-surface for any 0<=H<1. We obtained this result by proving a version of the bridge principle at infinity for H-surfaces. We also show that any open orientable surface S can be nonproperly embedded in H^3 as a minimal surface, too.

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BibTeXRIS

Baris Coskunuzer. 2013-11-19. $H$-Surfaces with Arbitrary Topology in Hyperbolic 3-Space. https://doi.org/10.1007/s12220-016-9715-x

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