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Wu Ke; Zhao Weizhong; Guo Hanying; Wu, K , Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China
Difference discrete connection and curvature on cubic lattice
Source PublicationSCIENCE IN CHINA SERIES A-MATHEMATICS
KeywordEuler-lagrange Cohomology Multisymplectic Structures Variational Principle Gauge-theory Riemannian Geometry Calculus Mechanics Time
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.
2006
ISSN1006-9283
Volume49Issue:11Pages:1458-1476
Subject AreaPhysics
Indexed BySCI
Citation statistics
Cited Times:15[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5868
Collection理论物理所科研产出_SCI期刊论文
Corresponding AuthorWu, K , Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China
Recommended Citation
GB/T 7714
Wu Ke,Zhao Weizhong,Guo Hanying,et al. Difference discrete connection and curvature on cubic lattice[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2006,49(11):1458-1476.
APA Wu Ke,Zhao Weizhong,Guo Hanying,&Wu, K , Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China.(2006).Difference discrete connection and curvature on cubic lattice.SCIENCE IN CHINA SERIES A-MATHEMATICS,49(11),1458-1476.
MLA Wu Ke,et al."Difference discrete connection and curvature on cubic lattice".SCIENCE IN CHINA SERIES A-MATHEMATICS 49.11(2006):1458-1476.
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