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The Deformation of Symplectic Critical Surfaces in a Kahler Surface-I
Han, Xiaoli1; Li, Jiayu2,3; Sun, Jun4
2018-10-01
Source PublicationINTERNATIONAL MATHEMATICS RESEARCH NOTICES
ISSN1073-7928
Issue20Pages:6290-6328
AbstractIn this article, we derive the Euler-Lagrange equation of the functional L-beta = integral(Sigma) 1/cos(beta) alpha d mu, beta not equal -1 in the class of symplectic surfaces. It is cos(3) alpha H = beta(J(J del cos alpha)inverted perpendicular)(perpendicular to), which is an elliptic equation when beta >= 0. We call such a surface a beta-symplectic critical surface. We first study the properties for each fixed beta-symplectic critical surface and then prove that the set of beta where there is a stable ss-symplectic critical surface is open. We believe it should be also closed. As a precise example, we study rotationally symmetric beta-symplectic critical surfaces in C-2 carefully.
DOI10.1093/imrn/rnx063
Language英语
Funding ProjectNational 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 Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000450254200004
PublisherOXFORD UNIV PRESS
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31731
Collection数学所
Affiliation1.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
Recommended Citation
GB/T 7714
Han, Xiaoli,Li, Jiayu,Sun, Jun. The Deformation of Symplectic Critical Surfaces in a Kahler Surface-I[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES,2018(20):6290-6328.
APA Han, Xiaoli,Li, Jiayu,&Sun, Jun.(2018).The Deformation of Symplectic Critical Surfaces in a Kahler Surface-I.INTERNATIONAL MATHEMATICS RESEARCH NOTICES(20),6290-6328.
MLA Han, Xiaoli,et al."The Deformation of Symplectic Critical Surfaces in a Kahler Surface-I".INTERNATIONAL MATHEMATICS RESEARCH NOTICES .20(2018):6290-6328.
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