Minimal two-spheres in g(2,4)
文献类型：期刊论文
| 作者 | Jiao, Xiaoxiang; Peng, Jiagui |
| 刊名 | Frontiers of mathematics in china
 |
| 出版日期 | 2010-06-01 |
| 卷号 | 5期号:2页码:297-310 |
| 关键词 | Harmonic map Conformal minimal immersion Gauss curvature Kahler angle Complex grassmann manifold |
| ISSN号 | 1673-3452 |
| DOI | 10.1007/s11464-010-0009-5 |
| 通讯作者 | Jiao, xiaoxiang(xxj@gucas.ac.cn) |
| 英文摘要 | In this paper, we mainly study the geometry of conformal minimal immersions of two-spheres in a complex grassmann manifold g(2,4). at first, we give a precise description of any non-+/- holomorphic harmonic 2-sphere in g(2,4) with the linearly full holomorphic maps psi(0): s (2) -> a",p(3) (called its directrix curve) and then, it is proved that such a conformal minimal immersion i center dot: s (2) -> g(2, 4) with constant curvature has constant kaahler angle. furthermore, i center dot is either v (1) ((3)) + v (3) ((3)) , which is totally geodesic, with constant gauss curvature 2/5 and constant kaahler angle given by t = 3/2 or v (3) ((3)) + v (2) ((3)) , which is totally real, but it is not totally geodesic, with constant gauss curvature 2/3, where v (0) ((3)) , v (1) ((3)) , v (2) ((3)) , v (3) ((3)) : s (2) -> a",p(3) is the veronese sequence. |
| WOS关键词 | COMPLEX GRASSMANN MANIFOLDS ; PSEUDO-HOLOMORPHIC CURVES ; HARMONIC MAPS ; CONSTANT CURVATURE ; SURFACES ; SPACE ; S2 |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000276169000005 |
| 出版者 | HIGHER EDUCATION PRESS |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2414751 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Jiao, Xiaoxiang |
| 作者单位 | Chinese Acad Sci, Grad Univ, Dept Math, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jiao, Xiaoxiang,Peng, Jiagui. Minimal two-spheres in g(2,4)[J]. Frontiers of mathematics in china,2010,5(2):297-310. |
| APA | Jiao, Xiaoxiang,&Peng, Jiagui.(2010).Minimal two-spheres in g(2,4).Frontiers of mathematics in china,5(2),297-310. |
| MLA | Jiao, Xiaoxiang,et al."Minimal two-spheres in g(2,4)".Frontiers of mathematics in china 5.2(2010):297-310. |
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来源：中国科学院大学
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