Examples of unstable Hamiltonian-minimal Lagrangian tori in C2

被引：41

作者：

Castro, I ^{[1
]}

Urbano, F ^{[1
]}

机构：

[1] Univ Jaen, Escuela Politecn Super, Dept Matemat, Jaen 23071, Spain

来源：

COMPOSITIO MATHEMATICA | 1998年 / 111卷 / 01期

关键词：

Lagrangian immersions; Hamiltonian-minimal unstable immersions;

D O I：

10.1023/A:1000332524827

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A new family of Hamiltonian-minimal Lagrangian tori in the complex Euclidean plane is constructed. They are the first known unstable ones and are characterized in terms of being the only Hamiltonian-minimal Lagrangian tori (with non-parallel mean curvature vector) in C-2 admitting a one-parameter group of isometries.

引用

页码：1 / 14

页数：14