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ISSN 1088-6850(e) ISSN 0002-9947(p)

Hyperbolic complete minimal surfaces with arbitrary topology

Author(s): F. J. López
Journal: Trans. Amer. Math. Soc. 350 (1998), 1977-1990.
MSC (1991): Primary 53A10; Secondary 53C42
MathSciNet review: 1422904
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Abstract: We show a method to construct orientable minimal surfaces in $\Bbb R^3$ with arbitrary topology. This procedure gives complete examples of two different kinds: surfaces whose Gauss map omits four points of the sphere and surfaces with a bounded coordinate function. We also apply these ideas to construct stable minimal surfaces with high topology which are incomplete or complete with boundary.

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