Difference discrete connection and curvature on cubic lattice
文献类型：期刊论文
| 作者 | Zhao Weizhong; Wu, K , Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China; Wu Ke; Guo Hanying |
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS
 |
| 出版日期 | 2006 |
| 卷号 | 49期号:11页码:1458-1476 |
| 关键词 | Euler-lagrange Cohomology Multisymplectic Structures Variational Principle Gauge-theory Riemannian Geometry Calculus Mechanics Time |
| ISSN号 | 1006-9283 |
| 英文摘要 | 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. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| WOS记录号 | WOS:000242922900004 |
| 公开日期 | 2012-08-02 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/5868]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 通讯作者 | Wu, K , Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhao Weizhong,Wu, K , Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China,Wu Ke,et al. Difference discrete connection and curvature on cubic lattice[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2006,49(11):1458-1476. |
| APA | Zhao Weizhong,Wu, K , Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China,Wu Ke,&Guo Hanying.(2006).Difference discrete connection and curvature on cubic lattice.SCIENCE IN CHINA SERIES A-MATHEMATICS,49(11),1458-1476. |
| MLA | Zhao Weizhong,et al."Difference discrete connection and curvature on cubic lattice".SCIENCE IN CHINA SERIES A-MATHEMATICS 49.11(2006):1458-1476. |
入库方式： OAI收割
来源：理论物理研究所
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