ON THE CONSTANT SCALAR CURVATURE KAHLER METRICS (I)-A PRIORI ESTIMATES

被引：47

作者：

Chen, Xiuxiong ^{[1
,2
]}

Cheng, Jingrui ^{[2
,3
]}

机构：

[1] Univ Sci & Technol China, Inst Geometry & Phys, 96 Jinzhai Rd, Hefei 230026, Anhui, Peoples R China

[2] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA

[3] Univ Wisconsin, Dept Math, 480 Lincoln Dr, Madison, WI 53706 USA

来源：

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 34卷 / 04期

基金：

美国国家科学基金会;

关键词：

EINSTEIN METRICS; C-2; C-ALPHA ESTIMATE; K-ENERGY; SPACE; REGULARITY; CONVEXITY; EXISTENCE; LIMITS;

D O I：

10.1090/jams/967

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we derive apriori estimates for constant scalar curvature Kähler metrics on a compact Kähler manifold. We show that higher order derivatives can be estimated in terms of a C0 bound for the Kähler potential. © 2021 American Mathematical Society.

引用

页码：909 / 936

页数：28

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