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.
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页数：23
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