BOUNDING SECTIONAL CURVATURE ALONG THE KAHLER-RICCI FLOW

被引：6

作者：

Ruan, Wei-Dong ^{[1
]}

Zhang, Yuguang ^{[1
,2
]}

Zhang, Zhenlei ^{[2
]}

机构：

[1] Korea Adv Inst Sci & Technol, Dept Math, Taejon 305701, South Korea

[2] Capital Normal Univ, Dept Math, Beijing, Peoples R China

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2009年 / 11卷 / 06期

基金：

新加坡国家研究基金会; 中国国家自然科学基金;

关键词：

Kahler-Ricci flow; curvature operator; Cheeger-Gromov convergence; Gromov-Hausdorff convergence; Kahler-Einstein metric; Kahler-Ricci soliton; 1ST CHERN CLASS; CONVERGENCE; MANIFOLDS; CONSTRUCTION; METRICS;

D O I：

10.1142/S0219199709003673

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If a normalized Kahler-Ricci flow g(t), t is an element of [0,infinity), on a compact Kahler manifold M, dim(C) M = n >= 3, with positive first Chern class satisfies g(t) is an element of 2 pi c(1)(M) and has curvature operator uniformly bounded in L-n-norm, the curvature operator will also be uniformly bounded along the flow. Consequently, the flow will converge along a subsequence to a Kahler-Ricci soliton.

引用

页码：1067 / 1077

页数：11

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