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：
中国国家自然科学基金; 新加坡国家研究基金会;
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.
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页码：1067 / 1077
页数：11
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