Symplectic critical surfaces with parallel normalized mean curvature vector in two-dimensional complex space forms | |
He, Ling1; Li, Jiayu2,3 | |
2019-05-01 | |
发表期刊 | INTERNATIONAL JOURNAL OF MATHEMATICS |
ISSN | 0129-167X |
卷号 | 30期号:5页码:18 |
摘要 | In this paper, we obtain a sufficient and necessary condition for the existence of symplectic critical surfaces with parallel normalized mean curvature vector in two-dimensional complex space forms. Explicitly, we find that there does not exist any symplectic critical surface with parallel normalized mean curvature vector in two-dimensional complex space forms of nonzero constant holomorphic sectional curvature. And there exists and only exists a two-parameters family of symplectic critical surfaces with parallel normalized mean curvature vector in two-dimensional complex plane, which are rotationally symmetric. |
关键词 | Symplectic critical surface parallel normalized mean curvature vector complex space form rotationally symmetric |
DOI | 10.1142/S0129167X19500277 |
语种 | 英语 |
资助项目 | NSF in China[11571332] ; NSF in China[11131007] ; NSF in China[11526212] ; NSF in China[11426236] ; NSF in China[11721101] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000471265000004 |
出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/34993 |
专题 | 数学所 |
通讯作者 | He, Ling |
作者单位 | 1.Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China 2.Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | He, Ling,Li, Jiayu. Symplectic critical surfaces with parallel normalized mean curvature vector in two-dimensional complex space forms[J]. INTERNATIONAL JOURNAL OF MATHEMATICS,2019,30(5):18. |
APA | He, Ling,&Li, Jiayu.(2019).Symplectic critical surfaces with parallel normalized mean curvature vector in two-dimensional complex space forms.INTERNATIONAL JOURNAL OF MATHEMATICS,30(5),18. |
MLA | He, Ling,et al."Symplectic critical surfaces with parallel normalized mean curvature vector in two-dimensional complex space forms".INTERNATIONAL JOURNAL OF MATHEMATICS 30.5(2019):18. |
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