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.
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页码：1 / 14
页数：14
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