Holomorphic two-spheres in complex grassmann manifold g(2,4)
文献类型：期刊论文
| 作者 | Xu, Xiaowei; Jiao, Xiaoxiang |
| 刊名 | Proceedings of the indian academy of sciences-mathematical sciences
 |
| 出版日期 | 2008-08-01 |
| 卷号 | 118期号:3页码:381-388 |
| 关键词 | Gaussian curvature Holomorphic map Totally geodesic |
| ISSN号 | 0253-4142 |
| 通讯作者 | Xu, xiaowei(xwxu04@mails.gucas.ac.cn) |
| 英文摘要 | In this paper, we use the harmonic sequence to study the linearly full holomorphic two-spheres in complex grassmann manifold g(2, 4). we show that if the gaussian curvature k (with respect to the induced metric) of a non-degenerate holomorphic two-sphere satisfied k <= 2 (or k >= 2), then k must be equal to 2. simultaneously, we show that one class of the holomorphic two-spheres with constant curvature 2 is totally geodesic. concerning the degenerate holomorphic two-spheres, if its gaussian curvature k <= 1 (or k >= 1), then k = 1. moreover, we prove that all holomorphic two-spheres with constant curvature 1 in g(2,4) must be u(4)-equivalent. |
| WOS关键词 | CONSTANT CURVATURE ; CURVES |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000259193200005 |
| 出版者 | SPRINGER |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2389722 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Xu, Xiaowei |
| 作者单位 | Chinese Acad Sci, Grad Univ, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Xiaowei,Jiao, Xiaoxiang. Holomorphic two-spheres in complex grassmann manifold g(2,4)[J]. Proceedings of the indian academy of sciences-mathematical sciences,2008,118(3):381-388. |
| APA | Xu, Xiaowei,&Jiao, Xiaoxiang.(2008).Holomorphic two-spheres in complex grassmann manifold g(2,4).Proceedings of the indian academy of sciences-mathematical sciences,118(3),381-388. |
| MLA | Xu, Xiaowei,et al."Holomorphic two-spheres in complex grassmann manifold g(2,4)".Proceedings of the indian academy of sciences-mathematical sciences 118.3(2008):381-388. |
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来源：中国科学院大学
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