Abstract
We show that for any Jordan curve in with at least one smooth point, there exists an embedded –plane in with for any .
Citation
Baris Coskunuzer. "Asymptotic $H$–Plateau problem in $\mathbb{H}^3$." Geom. Topol. 20 (1) 613 - 627, 2016. https://doi.org/10.2140/gt.2016.20.613
Information
Received: 20 March 2015; Revised: 7 May 2015; Accepted: 7 June 2015; Published: 2016
First available in Project Euclid: 16 November 2017
zbMATH: 1335.53069
MathSciNet: MR3470723
Digital Object Identifier: 10.2140/gt.2016.20.613
Subjects:
Primary:
53A10
Keywords:
$H$–surfaces
,
asymptotic Plateau problem
,
constant mean curvature
,
Hyperbolic space
Rights: Copyright © 2016 Mathematical Sciences Publishers