Variational solutions to extremal metrics on toric surfaces

被引：0
|
作者：
Bin Zhou
机构：
[1] Peking University,School of Mathematical Sciences
来源：
Mathematische Zeitschrift | 2016年 / 283卷
关键词：
K-energy; Toric surfaces; Abreu’s equation; Variational solutions; 53C55; 35J60;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove the interior regularity of minimizers of Donaldson’s version of K-energy associated to Calabi’s extremal metrics on toric surfaces. A new idea is to use solutions to the first boundary value problem of Abreu’s equation to approximate a minimizer of K-energy. By the regularity, we also prove the uniqueness of minimizers in dimension 2.
引用
收藏
页码：1011 / 1031
页数：20
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