Quaternionic maps and minimal surfaces

CSpace

	Quaternionic maps and minimal surfaces
	Chen, JY ; Li, JY
	2005
发表期刊	ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE
ISSN	0391-173X
卷号	4 期号:3 页码:375-388
摘要	Let (M, J(alpha), alpha = 1, 2, 3) and (N, J(alpha), alpha = 1, 2, 3) be hyperkahler manifolds. We study stationary quaternionic maps between M and N. We first show that if there are no holomorphic 2-spheres in the target then any sequence of stationary quaternionic maps with bounded energy subconverges to a stationary quaternionic map strongly in W-1,W-2(M, N). We then find that certain tangent maps of quaternionic maps give rise to an interesting minimal 2-sphere. At last we construct a stationary quaternionic map with a codimension-3 singular set by using the embedded minimal S-2 in the hyperkahler surface (M) over tilde (0)(2) studied by Atiyah-Hitchin.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000233248700001
出版者	SCUOLA NORMALE SUPERIORE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2016
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, JY
作者单位	1.Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada 2.Abdus Salam ICTP, I-34100 Trieste, Italy 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, JY,Li, JY. Quaternionic maps and minimal surfaces[J]. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE,2005,4(3):375-388.
APA	Chen, JY,&Li, JY.(2005).Quaternionic maps and minimal surfaces.ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE,4(3),375-388.
MLA	Chen, JY,et al."Quaternionic maps and minimal surfaces".ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE 4.3(2005):375-388.