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| Difference discrete connection and curvature on cubic lattice | |
| Wu, K; Zhao, WZ; Guo, HY | |
| 2006 | |
| Conference Name | International Conference on the Theory of Functions of Several Complex Variables |
| Source Publication | SCIENCE IN CHINA SERIES A-MATHEMATICS |
| Volume | 49 |
| Issue | 11 |
| Pages | 1458-1476 |
| Conference Date | JUN 20-25, 2005-2006 |
| Conference Place | Univ Sci & Technol China, Hefei, PEOPLES R CHINA |
| Author of Source | Univ Sci & Technol China |
| Publication Place | BEIJING |
| ISSN | 1006-9283 |
| Publisher | SCIENCE PRESS |
| Abstract | In 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. |
| Keyword | EULER-LAGRANGE COHOMOLOGY MULTISYMPLECTIC STRUCTURES VARIATIONAL PRINCIPLE GAUGE-THEORY RIEMANNIAN GEOMETRY CALCULUS MECHANICS TIME |
| DOI | 10.1007/s11425-006-2060-y |
| URL | 查看原文 |
| Indexed By | CPCI |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| Citation statistics | |
| Document Type | 会议论文 |
| Identifier | http://ir.itp.ac.cn/handle/311006/23684 |
| Collection | SCI会议论文 |
| Affiliation | 1.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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