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Symplectic critical surfaces with parallel normalized mean curvature vector in two-dimensional complex space forms

文献类型：期刊论文

作者He, Ling2; Li, Jiayu1,3
刊名INTERNATIONAL JOURNAL OF MATHEMATICS
出版日期2019-05-01
卷号30期号:5页码:18
关键词Symplectic critical surface parallel normalized mean curvature vector complex space form rotationally symmetric
ISSN号0129-167X
DOI10.1142/S0129167X19500277
英文摘要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.
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
语种英语
WOS记录号WOS:000471265000004
出版者WORLD SCIENTIFIC PUBL CO PTE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/34992]  
专题数学所
通讯作者He, Ling
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China
3.Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, 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.

入库方式： OAI收割

来源：数学与系统科学研究院

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