THE KAHLER-RICCI FLOW, RICCI-FLAT METRICS AND COLLAPSING LIMITS

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	THE KAHLER-RICCI FLOW, RICCI-FLAT METRICS AND COLLAPSING LIMITS
	Tosatti, Valentino 1; Weinkove, Ben 1; Yang, Xiaokui2
	2018-06-01
发表期刊	AMERICAN JOURNAL OF MATHEMATICS
ISSN	0002-9327
卷号	140 期号:3 页码:653-698
摘要	We 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.
语种	英语
资助项目	NSF[DMS-1308988] ; NSF[DMS-1332196] ; NSF[DMS-1406164] ; Sloan Research Fellowship ; China's Recruitment Program ; NSFC[11688101]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000431869500003
出版者	JOHNS HOPKINS UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30310
专题	数学所
通讯作者	Tosatti, Valentino
作者单位	1.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
推荐引用方式 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.