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Schrodinger flow on Hermitian locally symmetric spaces
Pang, PYH; Wang, HY; Wang, YD
2002-09-01
Source PublicationCOMMUNICATIONS IN ANALYSIS AND GEOMETRY
ISSN1019-8385
Volume10Issue:4Pages:653-681
AbstractIn 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.
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000183579900001
PublisherINT PRESS CO LTD
Citation statistics
Cited Times:20[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17837
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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