Minimal n -noids in hyperbolic and anti-de Sitter 3-space-Reference-Cited by-同舟云学术

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

Published:2019-07 Issue:2227 Volume:475 Page:20190173
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Bobenko Alexander I.¹,Heller Sebastian²^ORCID,Schmitt Nicholas¹

Affiliation:

1. Institut für Mathematik, TU Berlin, Str. des 17. Juni 136, 10623 Berlin, Germany

2. Fachbereich Mathematik, Universität Hamburg, 20146 Hamburg, Germany

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 behaviour of the surfaces is based on the asymptotics of Delaunay-type surfaces, i.e. rotational symmetric minimal cylinders. The minimal surfaces in H 3 extend to Willmore surfaces in the conformal 3-sphere S 3 = H 3 ∪S 2 ∪H 3 .

Funder

DFG

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2019.0173

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