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arXiv · 1902.07992

Minimal n-Noids in hyperbolic and anti-de Sitter 3-space

Alexander I. Bobenko·Sebastian Heller·Nicholas Schmitt
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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 $\mathrm{S}^3=\mathrm{H}^3\cup\mathrm{S}^2\cup\mathrm{H}^3$.

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Alexander I. Bobenko, Sebastian Heller, Nicholas Schmitt. 2019-02-21. Minimal n-Noids in hyperbolic and anti-de Sitter 3-space. https://doi.org/10.1098/rspa.2019.0173

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