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STABILITY OF THE KAHLER-RICCI FLOW IN THE SPACE OF KAHLER METRICS
Zheng, Kai
2011-06-01
Source PublicationPACIFIC JOURNAL OF MATHEMATICS
ISSN0030-8730
Volume251Issue:2Pages:469-497
AbstractWe 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.
KeywordKahler-Ricci flow space of Kahler metrics stability
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000291389100012
PublisherPACIFIC JOURNAL MATHEMATICS
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Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/12514
Collection中国科学院数学与系统科学研究院
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
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.
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