QQ客服 官方微博 反馈留言

	Holomorphic two-spheres in complex grassmann manifold g(2,4)
	Xu, Xiaowei; Jiao, Xiaoxiang
刊名	Proceedings of the indian academy of sciences-mathematical sciences
	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
出版者	SPRINGER
WOS记录号	WOS:000259193200005
内容类型	期刊论文
URI标识	http://www.corc.org.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.

个性服务

查看访问统计

相关权益政策

暂无数据

收藏/分享

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。