On some conformal minimal 2-spheres in a complex projective space
文献类型：期刊论文
| 作者 | Jiao, Xiaoxiang; Peng, Jiagui |
| 刊名 | Quarterly journal of mathematics
 |
| 出版日期 | 2010-03-01 |
| 卷号 | 61期号:1页码:87-101 |
| ISSN号 | 0033-5606 |
| DOI | 10.1093/qmath/han029 |
| 通讯作者 | Jiao, xiaoxiang(xxj@gucas.ac.cn) |
| 英文摘要 | In this paper, the geometry of a linearly full conformal minimal 2-sphere s(2) immersed in a complex projective space cp(n) which satisfies various conditions is studied. let nu(1)(p) be the first normal space of s(2) at the point p, and let tp perpendicular to s(2) = nu(1)(p) circle plus nu(2)(p) for p is an element of s(2). we prove that s(2) is of constant kahler angle if and only if j nu(1)(p) subset of tp perpendicular to s(2) for all p is an element of s(2), where j is the complex structure of cp(n). furthermore, we prove that (i) s(2) is totally geodesic in cp(2) if j nu(1)(p) subset of t(p) s(2) for all p is an element of s(2); (ii) s(2) is either a holomorphic curve in cp(n) or the first element of the veronese sequence, up to an isometry of cp(n), if j nu(1)(p) subset of nu(1)(p) for all p is an element of s(2); (iii) s(2) is totally real if j nu(1)(p) subset of nu(2)(p) for all p is an element of s(2). it is also proved that s(2) is either an element of the veronese sequence in cp(2) or a totally real curve of constant curvature 1/3 in cp(4) if its second fundamental form is parallel. |
| WOS关键词 | HARMONIC MAPS ; SURFACES |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000274498200006 |
| 出版者 | OXFORD UNIV PRESS |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2413932 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Jiao, Xiaoxiang |
| 作者单位 | Chinese Acad Sci, Dept Math, Grad Univ, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jiao, Xiaoxiang,Peng, Jiagui. On some conformal minimal 2-spheres in a complex projective space[J]. Quarterly journal of mathematics,2010,61(1):87-101. |
| APA | Jiao, Xiaoxiang,&Peng, Jiagui.(2010).On some conformal minimal 2-spheres in a complex projective space.Quarterly journal of mathematics,61(1),87-101. |
| MLA | Jiao, Xiaoxiang,et al."On some conformal minimal 2-spheres in a complex projective space".Quarterly journal of mathematics 61.1(2010):87-101. |
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来源：中国科学院大学
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