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

被引：4

作者：

Bobenko, Alexander I. ^{[1
]}

Heller, Sebastian ^{[2
]}

Schmitt, Nicholas ^{[1
]}

机构：

[1] TU Berlin, Inst Math, Str 17 Juni 136, D-10623 Berlin, Germany

[2] Univ Hamburg, Fachbereich Math, D-20146 Hamburg, Germany

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2019年 / 475卷 / 2227期

关键词：

minimal surfaces; AdS/CFT correspondence; integrable systems; loop groups; CONSTANT MEAN-CURVATURE; SURFACES; SPACE; REPRESENTATION;

D O I：

10.1098/rspa.2019.0173

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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 boolean OR S-2 boolean OR H-3.

引用

页数：25

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