The Deformation of Symplectic Critical Surfaces in a Kahler Surface-I | |
Han, Xiaoli1; Li, Jiayu2,3; Sun, Jun4 | |
2018-10-01 | |
发表期刊 | INTERNATIONAL MATHEMATICS RESEARCH NOTICES |
ISSN | 1073-7928 |
期号 | 20页码:6290-6328 |
摘要 | In 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. |
DOI | 10.1093/imrn/rnx063 |
语种 | 英语 |
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 |
WOS类目 | Mathematics |
WOS记录号 | WOS:000450254200004 |
出版者 | OXFORD UNIV 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/31731 |
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-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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