An isoperimetric inequality for Hamiltonian stationary Lagrangian tori in C2 related to Oh's conjecture

被引：0

作者：

Anciaux, H ^{[1
]}

机构：

[1] Univ Tours, Dept Math, F-37200 Tours, France

来源：

MATHEMATISCHE ZEITSCHRIFT | 2002年 / 241卷 / 03期

关键词：

D O I：

10.1007/s00209-002-0438-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute loops integrals on Hamiltonian stationary Lagrangian tori in C-2, which are symplectic invariants, then we show an isoperimetric inequality involving these invariants and the area. Finally, we show that the flat torus S-1 x S-1 subset of C x C has least area among Hamiltonian stationary Lagrangian tori of its isotopy class.

引用

页码：639 / 664

页数：26

共 20 条

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[6] An isoperimetric inequality for Hamiltonian stationary Lagrangian tori in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}${\mathbb C}^2$\end{document} related to Oh's conjecture
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