关于常标曲率Kähler度量（I）——先验估计

IF 3.5 1区数学 Q1 MATHEMATICS

Journal of the American Mathematical Society Pub Date : 2017-12-18 DOI:10.1090/jams/967

Xiuxiong Chen, Jingrui Cheng

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引用次数: 100

摘要

在本文中，我们导出了紧致Kähler流形上常标量曲率Kächler度量的先验估计。我们证明了高阶导数可以用Kähler势的C0-C^0界来估计。

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On the constant scalar curvature Kähler metrics (I)—A priori estimates

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 C 0 C^0 bound for the Kähler potential.

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来源期刊

Journal of the American Mathematical Society 数学-数学

CiteScore

7.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to research articles of the highest quality in all areas of pure and applied mathematics.