Minimal 2-spheres in a complex projective space
文献类型：期刊论文
| 作者 | Jiao, Xiaoxiang; Peng, Jiagui |
| 刊名 | Differential geometry and its applications
 |
| 出版日期 | 2007-10-01 |
| 卷号 | 25期号:5页码:506-517 |
| 关键词 | Minimal immersion Gauss curvature Normal curvature Kahler angle Square length of the second fundamental form |
| ISSN号 | 0926-2245 |
| DOI | 10.1016/j.difgeo.2007.06.002 |
| 通讯作者 | Jiao, xiaoxiang(xxj@gucas.ac.cn) |
| 英文摘要 | In this paper conformal minimal 2-spheres immersed in a complex projective space are studied by applying lie theory and moving frames. we give differential equations of kahler angle and square length of the second fundamental form. by applying these differential equations we give characteristics of conformal minimal 2-spheres of constant kahler angle and obtain pinching theorems for curvature. we also discuss conformal minimal 2-spheres of constant normal curvature and prove that there does not exist any linearly full minimal 2-sphere immersed in a complex projective space cpn (n > 2) with non-positive constant normal curvature. we also prove that a linearly full minimal 2-sphere immersed in a complex projective space cpn (n > 2) with constant normal curvature and constant kahler angle is of constant curvature. (c) 2007 elsevier b.v. all rights reserved. |
| WOS关键词 | HARMONIC MAPS ; DIFFERENTIAL GEOMETRY ; NORMAL CURVATURE ; SURFACES ; IMMERSIONS |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000250492100007 |
| 出版者 | ELSEVIER SCIENCE BV |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2383249 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Jiao, Xiaoxiang |
| 作者单位 | Chinese Acad Sci, Grad Sch, Dept Math, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jiao, Xiaoxiang,Peng, Jiagui. Minimal 2-spheres in a complex projective space[J]. Differential geometry and its applications,2007,25(5):506-517. |
| APA | Jiao, Xiaoxiang,&Peng, Jiagui.(2007).Minimal 2-spheres in a complex projective space.Differential geometry and its applications,25(5),506-517. |
| MLA | Jiao, Xiaoxiang,et al."Minimal 2-spheres in a complex projective space".Differential geometry and its applications 25.5(2007):506-517. |
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来源：中国科学院大学
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