复monge - ampantere方程的局部不坍缩

IF 1.3 1区数学 Q1 MATHEMATICS

Journal fur die Reine und Angewandte Mathematik Pub Date : 2022-01-09 DOI:10.1515/crelle-2022-0069

B. Guo, Jian Song

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引用次数: 5

摘要

摘要我们证明了由一类复杂monge - amp方程导出的Kähler度量的局部体积非坍缩估计，并假设了局部Ricci曲率下界。该局部体积估计可用于建立各种直径和梯度估计。

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Local noncollapsing for complex Monge–Ampère equations

Abstract We prove a local volume noncollapsing estimate for Kähler metrics induced from a family of complex Monge–Ampère equations, assuming a local Ricci curvature lower bound. This local volume estimate can be applied to establish various diameter and gradient estimate.

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来源期刊

Journal fur die Reine und Angewandte Mathematik 数学-数学

CiteScore

2.50

自引率

6.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal für die reine und angewandte Mathematik is the oldest mathematics periodical still in existence. Founded in 1826 by August Leopold Crelle and edited by him until his death in 1855, it soon became widely known under the name of Crelle"s Journal. In the almost 180 years of its existence, Crelle"s Journal has developed to an outstanding scholarly periodical with one of the worldwide largest circulations among mathematics journals. It belongs to the very top mathematics periodicals, as listed in ISI"s Journal Citation Report.