STABILITY OF THE KAHLER-RICCI FLOW IN THE SPACE OF KAHLER METRICS

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	STABILITY OF THE KAHLER-RICCI FLOW IN THE SPACE OF KAHLER METRICS
	Zheng, Kai
	2011-06-01
发表期刊	PACIFIC JOURNAL OF MATHEMATICS
ISSN	0030-8730
卷号	251 期号:2 页码:469-497
摘要	We prove that on a Fano manifold M admitting a Kahler-Ricci soliton (omega, X), if the initial Kahler metric omega(phi 0) is close to omega in a certain weak sense, then the weak Kahler-Ricci flow exists globally and converges in the sense of Cheeger and Gromov. In particular, phi(0) is not assumed to be K(X)-invariant. The methods used are based on the metric geometry of the space of the Kahler metrics and are potentially applicable to other stability problems of geometric flows near the corresponding critical metrics.
关键词	Kahler-Ricci flow space of Kahler metrics stability
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000291389100012
出版者	PACIFIC JOURNAL MATHEMATICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12514
专题	中国科学院数学与系统科学研究院
通讯作者	Zheng, Kai
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zheng, Kai. STABILITY OF THE KAHLER-RICCI FLOW IN THE SPACE OF KAHLER METRICS[J]. PACIFIC JOURNAL OF MATHEMATICS,2011,251(2):469-497.
APA	Zheng, Kai.(2011).STABILITY OF THE KAHLER-RICCI FLOW IN THE SPACE OF KAHLER METRICS.PACIFIC JOURNAL OF MATHEMATICS,251(2),469-497.
MLA	Zheng, Kai."STABILITY OF THE KAHLER-RICCI FLOW IN THE SPACE OF KAHLER METRICS".PACIFIC JOURNAL OF MATHEMATICS 251.2(2011):469-497.