The deformation of symplectic critical surfaces in a Kahler surface-II-compactness

doi:10.1007/s00526-017-1175-z

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 数学所

	The deformation of symplectic critical surfaces in a Kahler surface-II-compactness
	Han, Xiaoli 1; Li, Jiayu2,3 ; Sun, Jun 4
刊名	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
	2017-06-01
卷号	56 期号:3 页码:22
ISSN号	0944-2669
DOI	10.1007/s00526-017-1175-z
英文摘要	In this paper we consider the compactness of beta-symplectic critical surfaces in a Kahler surface. Let M be a compact Kahler surface and Sigma(i) subset of M be a sequence of closed beta(i)-symplectic critical surfaces with beta(i) -> beta(0) is an element of (0, infinity). Suppose the quantity integral Sigma(i)1/cos(q) alpha(i) d mu(i) (for some q > 4) and the genus of Sigma(i) are bounded, then there exists a finite set of points S subset of M and a subsequence Sigma(i)' which converges uniformly in the C-l topology (for any l < 8) on compact subsets of M\S to a beta(0)-symplectic critical surface Sigma subset of M, each connected component of Sigma\S can be extended smoothly across S.
资助项目	National Natural Science Foundation of China[11426236] ; National Natural Science Foundation of China[11131007] ; National Natural Science Foundation of China[11471014] ; National Natural Science Foundation of China[11401440]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000402817100029
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/25669]
专题	数学所
通讯作者	Sun, Jun
作者单位	1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China 3.AMSS CAS, Beijing 100190, Peoples R China 4.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
推荐引用方式 GB/T 7714	Han, Xiaoli,Li, Jiayu,Sun, Jun. The deformation of symplectic critical surfaces in a Kahler surface-II-compactness[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2017,56(3):22.
APA	Han, Xiaoli,Li, Jiayu,&Sun, Jun.(2017).The deformation of symplectic critical surfaces in a Kahler surface-II-compactness.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,56(3),22.
MLA	Han, Xiaoli,et al."The deformation of symplectic critical surfaces in a Kahler surface-II-compactness".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 56.3(2017):22.