Schrodinger flow on Hermitian locally symmetric spaces

CSpace

	Schrodinger flow on Hermitian locally symmetric spaces
	Pang, PYH ; Wang, HY ; Wang, YD
	2002-09-01
发表期刊	COMMUNICATIONS IN ANALYSIS AND GEOMETRY
ISSN	1019-8385
卷号	10 期号:4 页码:653-681
摘要	In this paper, we show that there exist global (inhomogeneous) Schrodinger flows from the real line R-1 as well as the circle S' into Hermitian locally symmetric spaces. Moreover, the Schrodinger flows obey a conservation law. Via the correspondence between the Schrodinger flow on complex Grassmannians and the matrix nonlinear Schrodinger equation (focusing case) on the real line R-1, Terng and Uhlenbeck recently established the existence of global Schrodinger flow from R-1 into complex Grassmannian manifolds using methods of complete integrability and inverse scattering. In a particular case, our result provides a geometric analytic approach to this global existence result on R-1.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000183579900001
出版者	INT PRESS CO LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17837
专题	中国科学院数学与系统科学研究院
通讯作者	Pang, PYH
作者单位	1.Natl Univ Singapore, Dept Math, Singapore 117543, Singapore 2.Yangzhou Univ, Yangzhou 225009, Jiangsu, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Pang, PYH,Wang, HY,Wang, YD. Schrodinger flow on Hermitian locally symmetric spaces[J]. COMMUNICATIONS IN ANALYSIS AND GEOMETRY,2002,10(4):653-681.
APA	Pang, PYH,Wang, HY,&Wang, YD.(2002).Schrodinger flow on Hermitian locally symmetric spaces.COMMUNICATIONS IN ANALYSIS AND GEOMETRY,10(4),653-681.
MLA	Pang, PYH,et al."Schrodinger flow on Hermitian locally symmetric spaces".COMMUNICATIONS IN ANALYSIS AND GEOMETRY 10.4(2002):653-681.