A mean-curvature flow along a Kahler-Ricci flow
文献类型：期刊论文
| 作者 | Han, Xiaoli1; Li, Jiayu2,3 ; Zhao, Liang4
|
| 刊名 | INTERNATIONAL JOURNAL OF MATHEMATICS
 |
| 出版日期 | 2018 |
| 卷号 | 29期号:1页码:25 |
| 关键词 | Kahler angle Kahler-Ricci flow mean-curvature flow symplectic surface |
| ISSN号 | 0129-167X |
| DOI | 10.1142/S0129167X18500064 |
| 英文摘要 | Let (M, (g) over bar) be a Kahler surface, and S an immersed surface in M. The Kahler angle of S inM is introduced by Chern andWolfson [Am. J. Math. 105 (1983) 59-83]. Let (M, (g) over bar (t)) evolve along the Kahler- Ricci flow, and Sigma t in (M, (g) over bar (t)) evolve along the mean- curvature flow. We show that the Kahler angle alpha(t) satisfies the evolution equation (partial derivative/partial derivative(t) - Delta) cos alpha = |(del) over bar J Sigma(t)|(2) cos alpha +Rsin(2) alpha cos alpha, where R is the scalar curvature of (M, (g) over bar (t)). The equation implies that if the initial surface is symplectic (Lagrangian), then, along the flow, St is always symplectic (Lagrangian) at each time t, which we call a symplectic (Lagrangian) Kahler-Ricci mean-curvature flow. In this paper, we mainly study the symplectic Kahler-Ricci mean-curvature flow. |
| 资助项目 | NSF in China[11131007] ; NSF in China[11471014] ; NSF in China[11201028] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000423846000006 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29442]  |
| 专题 | 数学所 |
| 通讯作者 | Han, Xiaoli |
| 作者单位 | 1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China 3.AMSS CAS, Beijing 100190, Peoples R China 4.Beijing Normal Univ, MOE, LMCS, Sch Math Sci, Beijing 100875, Peoples R China |
| 推荐引用方式 GB/T 7714 | Han, Xiaoli,Li, Jiayu,Zhao, Liang. A mean-curvature flow along a Kahler-Ricci flow[J]. INTERNATIONAL JOURNAL OF MATHEMATICS,2018,29(1):25. |
| APA | Han, Xiaoli,Li, Jiayu,&Zhao, Liang.(2018).A mean-curvature flow along a Kahler-Ricci flow.INTERNATIONAL JOURNAL OF MATHEMATICS,29(1),25. |
| MLA | Han, Xiaoli,et al."A mean-curvature flow along a Kahler-Ricci flow".INTERNATIONAL JOURNAL OF MATHEMATICS 29.1(2018):25. |
入库方式： OAI收割
来源：数学与系统科学研究院
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