Minimal surfaces of Riemann type in three-dimensional product manifolds

被引：42

作者：

Hauswirth, L ^{[1
]}

机构：

[1] Univ Marne La Vallee, F-77454 Marne La Vallee, France

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2006年 / 224卷 / 01期

关键词：

periodic minimal surface; harmonic map; stable minimal surface; stability index; Jacobi field; Jacobi operator;

D O I：

10.2140/pjm.2006.224.91

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct and classify minimal surfaces foliated by horizontal curves of constant curvature in H-2 x R, R-2 x R and S-2 x R. The main tool is the existence of a Shiffman Jacobi field; such fields characterize the property of being foliated by circles in these product manifolds.

引用

页码：91 / 117

页数：27

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