THE KAHLER-RICCI FLOW, RICCI-FLAT METRICS AND COLLAPSING LIMITS
文献类型：期刊论文
| 作者 | Tosatti, Valentino1; Weinkove, Ben1; Yang, Xiaokui2
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| 刊名 | AMERICAN JOURNAL OF MATHEMATICS
 |
| 出版日期 | 2018-06-01 |
| 卷号 | 140期号:3页码:653-698 |
| ISSN号 | 0002-9327 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000431869500003 |
| 出版者 | JOHNS HOPKINS UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30309]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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