KMS Of Academy of mathematics and systems sciences, CAS
| STABILITY OF THE KAHLER-RICCI FLOW IN THE SPACE OF KAHLER METRICS | |
| Zheng, Kai | |
| 2011-06-01 | |
| Source Publication | PACIFIC JOURNAL OF MATHEMATICS
 |
| ISSN | 0030-8730 |
| Volume | 251Issue:2Pages:469-497 |
| Abstract | 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. |
| Keyword | Kahler-Ricci flow space of Kahler metrics stability |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000291389100012 |
| Publisher | PACIFIC JOURNAL MATHEMATICS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/12514 |
| Collection | 中国科学院数学与系统科学研究院 |
| Affiliation | Chinese 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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