Non-periodic Riemann examples with handles

被引：5
|
作者：
Morabito, Filippo [1 ,2 ]
Traizet, Martin [2 ]
机构：
[1] KIAS Korea Inst Adv Study, Sch Math, Seoul 130722, South Korea
[2] Univ Tours, UMR CNRS 6083, Lab Math & Phys Theor, F-37200 Tours, France
来源：
ADVANCES IN MATHEMATICS | 2012年 / 229卷 / 01期
关键词：
Minimal surfaces; Infinitely many planar ends; Desingularization; Noded Riemann surface; MINIMAL-SURFACES; GEOMETRY;
D O I：
10.1016/j.aim.2011.09.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show the existence of I-parameter families of non-periodic, complete, embedded minimal surfaces in Euclidean space with infinitely many parallel planar ends. In particular we are able to produce finite genus examples and quasi-periodic examples of infinite genus. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：26 / 53
页数：28
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