Saddle towers with infinitely many ends

被引：7

作者：

Mazet, Laurent ^{[1
]}

Rodriguez, M. Magdalena ^{[2
]}

Traizet, Martin ^{[1
]}

机构：

[1] Univ Tours, Dept Math & Phys Theor, F-37200 Tours, France

[2] Fac Complutense Madrid, Dept Algebra, Madrid 28040, Spain

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2007年 / 56卷 / 06期

关键词：

minimal surface; Jenkins-Serrin; saddle tower; limit end;

D O I：

10.1512/iumj.2007.56.3130

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We point out an application of a Theorem of Jenkins and Serrin to construct singly-periodic minimal surfaces which have, in the quotient, genus zero, countably many ends and one limit end. These surfaces have bounded curvature and infinite total curvature.

引用

页码：2821 / 2838

页数：18

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