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THE KAHLER-RICCI FLOW, RICCI-FLAT METRICS AND COLLAPSING LIMITS
Tosatti, Valentino1; Weinkove, Ben1; Yang, Xiaokui2
2018-06-01
Source PublicationAMERICAN JOURNAL OF MATHEMATICS
ISSN0002-9327
Volume140Issue:3Pages:653-698
AbstractWe investigate the Kahler-Ricci flow on holomorphic fiber spaces whose generic fiber is a Calabi-Yau manifold. We establish uniform metric convergence to a metric on the base, away from the singular fibers, and show that the resealed metrics on the fibers converge to Ricci-flat Kahler metrics. This strengthens previous work of Song-Tian and others. We obtain analogous results for degenerations of Ricci-flat Kahler metrics.
Language英语
Funding ProjectNSF[DMS-1308988] ; NSF[DMS-1332196] ; NSF[DMS-1406164] ; Sloan Research Fellowship ; China's Recruitment Program ; NSFC[11688101]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000431869500003
PublisherJOHNS HOPKINS UNIV PRESS
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30310
Collection数学所
Affiliation1.Northwestern Univ, Dept Math, 2033 Sheridan Rd, Evanston, IL 60208 USA
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Morningside Ctr Math,HCMS,CEMS,NCNIS,HLM,UCAS, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Tosatti, Valentino,Weinkove, Ben,Yang, Xiaokui. THE KAHLER-RICCI FLOW, RICCI-FLAT METRICS AND COLLAPSING LIMITS[J]. AMERICAN JOURNAL OF MATHEMATICS,2018,140(3):653-698.
APA Tosatti, Valentino,Weinkove, Ben,&Yang, Xiaokui.(2018).THE KAHLER-RICCI FLOW, RICCI-FLAT METRICS AND COLLAPSING LIMITS.AMERICAN JOURNAL OF MATHEMATICS,140(3),653-698.
MLA Tosatti, Valentino,et al."THE KAHLER-RICCI FLOW, RICCI-FLAT METRICS AND COLLAPSING LIMITS".AMERICAN JOURNAL OF MATHEMATICS 140.3(2018):653-698.
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