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

页码：29 / 53

页数：25