Triply periodic minimal surfaces bounded by vertical symmetry planes

被引：7
|
作者：
Fujimori, Shoichi [2 ]
Weber, Matthias [1 ]
机构：
[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA
[2] Fukuoka Univ Educ, Dept Math, Fukuoka 8114192, Japan
来源：
MANUSCRIPTA MATHEMATICA | 2009年 / 129卷 / 01期
关键词：
Primary 53A10; Secondary 49Q05; 53C42;
D O I：
10.1007/s00229-008-0245-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a uniform and elementary treatment of many classical and new triply periodic minimal surfaces in Euclidean space, based on a Schwarz-Christoffel formula for periodic polygons in the plane. Our surfaces share the property that vertical symmetry planes cut them into simply connected pieces.
引用
收藏
页码：29 / 53
页数：25
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