Hamiltonian stationary tori in Kähler manifolds

被引：0
|
作者：
Adrian Butscher
Justin Corvino
机构：
[1] Stanford University,Department of Computer Science
[2] Lafayette College,Department of Mathematics
来源：
Calculus of Variations and Partial Differential Equations | 2012年 / 45卷
关键词：
58J37; 35J20; 35J48; 53C15; 53C21; 53C38; 53C55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A Hamiltonian stationary Lagrangian submanifold of a Kähler manifold is a Lagrangian submanifold whose volume is stationary under Hamiltonian variations. We find a sufficient condition on the curvature of a Kähler manifold of real dimension four to guarantee the existence of a family of small Hamiltonian stationary Lagrangian tori.
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页码：63 / 100
页数：37
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