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Difference discrete connection and curvature on cubic lattice
Wu, K; Zhao, WZ; Guo, HY
2006
Conference NameInternational Conference on the Theory of Functions of Several Complex Variables
Source PublicationSCIENCE IN CHINA SERIES A-MATHEMATICS
Volume49
Issue11
Pages1458-1476
Conference DateJUN 20-25, 2005-2006
Conference PlaceUniv Sci & Technol China, Hefei, PEOPLES R CHINA
Author of SourceUniv Sci & Technol China
Publication PlaceBEIJING
ISSN1006-9283
PublisherSCIENCE PRESS
AbstractIn a way similar to the continuous case formally, we define in different but equivalent manners the difference discrete connection and curvature on discrete vector bundle over the regular lattice as base space. We deal with the difference operators as the discrete counterparts of the derivatives based upon the differential calculus on the lattice. One of the definitions can be extended to the case over the random lattice. We also discuss the relation between our approach and the lattice gauge theory and apply to the discrete integrable systems.
KeywordEULER-LAGRANGE COHOMOLOGY MULTISYMPLECTIC STRUCTURES VARIATIONAL PRINCIPLE GAUGE-THEORY RIEMANNIAN GEOMETRY CALCULUS MECHANICS TIME
DOI10.1007/s11425-006-2060-y
URL查看原文
Indexed ByCPCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
Citation statistics
Cited Times:15[WOS]   [WOS Record]     [Related Records in WOS]
Document Type会议论文
Identifierhttp://ir.itp.ac.cn/handle/311006/23684
CollectionSCI会议论文
Affiliation1.Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China
2.Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Wu, K,Zhao, WZ,Guo, HY. Difference discrete connection and curvature on cubic lattice[C]//Univ Sci & Technol China. BEIJING:SCIENCE PRESS,2006:1458-1476.
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