On the compactness of Hamiltonian stationary Lagrangian surfaces in Kahler surfaces

被引：3

作者：

Chen, Jingyi ^{[1
]}

Ma, John Man Shun ^{[2
]}

机构：

[1] Univ British Columbia, Dept Math, Vancouver, BC, Canada

[2] Rutgers State Univ, Dept Math, New Brunswick, NJ 08854 USA

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2021年 / 60卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

53D12;

D O I：

10.1007/s00526-020-01901-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a bubble tree convergence theorem for a sequence of closed Hamiltonian stationary Lagrangian surfaces with bounded areas andWillmore energies in a complete Kahler surface. We also prove two strong compactness theorems on the space of Hamiltonian stationary Lagrangian tori in C-2 and CP2 respectively.

引用

页数：23

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