Singularities of symplectic and Lagrangian mean curvature flows | |
Han, Xiaoli2; Li, Jiayu1,3 | |
2009-06-01 | |
发表期刊 | FRONTIERS OF MATHEMATICS IN CHINA |
ISSN | 1673-3452 |
卷号 | 4期号:2页码:283-296 |
摘要 | In this paper, we study the singularities of the mean curvature flow from a symplectic surface or from a Lagrangian surface in a Kahler-Einstein surface. We prove that the blow-up flow Sigma(infinity)(s) s at a singular point (X(0), T(0)) of a symplectic mean curvature flow Sigma(t) or of a Lagrangian mean curvature flow Sigma(t) is a nontrivial minimal surface in R(4), if Sigma(infinity)(-infinity) is connected. |
关键词 | Symplectic surface holomorphic curve Lagrangian surface minimal Lagrangian surface mean curvature flow |
DOI | 10.1007/s11464-009-0018-4 |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000270372800003 |
出版者 | HIGHER EDUCATION 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/7285 |
专题 | 数学所 |
通讯作者 | Li, Jiayu |
作者单位 | 1.Abdus Salam Int Ctr Theoret Phys, Math Grp, I-34100 Trieste, Italy 2.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Han, Xiaoli,Li, Jiayu. Singularities of symplectic and Lagrangian mean curvature flows[J]. FRONTIERS OF MATHEMATICS IN CHINA,2009,4(2):283-296. |
APA | Han, Xiaoli,&Li, Jiayu.(2009).Singularities of symplectic and Lagrangian mean curvature flows.FRONTIERS OF MATHEMATICS IN CHINA,4(2),283-296. |
MLA | Han, Xiaoli,et al."Singularities of symplectic and Lagrangian mean curvature flows".FRONTIERS OF MATHEMATICS IN CHINA 4.2(2009):283-296. |
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