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20 April 2024

» arxiv » 1902.7992

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Minimal n-Noids in hyperbolic and anti-de Sitter 3-space
Alexander I. Bobenko ; Sebastian Heller ; Nicholas Schmitt ;
Date:	21 Feb 2019
Abstract:	We construct minimal surfaces in hyperbolic and anti-de Sitter 3-space with the topology of a $n$-punctured sphere by loop group factorization methods. The end behavior of the surfaces is based on the asymptotics of Delaunay-type surfaces, i.e., rotational symmetric minimal cylinders. The minimal surfaces in $mathrm{H}^3$ extend to Willmore surfaces in the conformal 3-sphere $mathrm{S}^3=mathrm{H}^3cupmathrm{S}^2cupmathrm{H}^3$.
Source:	arXiv, 1902.7992
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