KÄhler Ricci Flow on Fano Manifolds with Vanished Futaki Invariants

KÄhler Ricci Flow on Fano Manifolds with Vanished Futaki Invariants
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DOI:
10.4310/mrl.2011.v18.n5.a14
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发表时间:
2010-10
影响因子:
1
通讯作者:
Zhenlei Zhang
Zhenlei Zhang
中科院分区:
数学3区
文献类型:
--
作者:
Zhenlei Zhang

文献摘要

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本文建立了具有正第一Chern类的Kahler流形上的Kahler-Ricci流收敛到Kahler-Einstein度量(或收缩Kahler-Ricci孤子)的几个充要条件.
In this paper, we establish several sufficient and necessary conditions for the convergence of a K\"ahler-Ricci flow, on a K\"ahler manifold with positive first Chern class, to a K\"ahler-Einstein metric (or a shrinking K\"ahler-Ricci soliton).