Singularities of symplectic and Lagrangian mean curvature flows

doi:10.1007/s11464-009-0018-4

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	Singularities of symplectic and Lagrangian mean curvature flows
	Han, Xiaoli 2; 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.