Difference discrete connection and curvature on cubic lattice

doi:10.1007/s11425-006-2060-y

	Difference discrete connection and curvature on cubic lattice
	Wu, K ; Zhao, WZ ; Guo, HY
	2006
会议日期	JUN 20-25, 2005-2006
会议地点	Univ Sci & Technol China, Hefei, PEOPLES R CHINA
关键词	EULER-LAGRANGE COHOMOLOGY MULTISYMPLECTIC STRUCTURES VARIATIONAL PRINCIPLE GAUGE-THEORY RIEMANNIAN GEOMETRY CALCULUS MECHANICS TIME
卷号	49
期号	11
DOI	10.1007/s11425-006-2060-y
页码	1458-1476
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.
源文献作者	Univ Sci & Technol China
会议录	SCIENCE IN CHINA SERIES A-MATHEMATICS
会议录出版者	SCIENCE PRESS
会议录出版地	BEIJING
语种	英语
URL标识	查看原文
ISSN号	1006-9283
WOS研究方向	Mathematics
内容类型	会议论文
源URL	[http://ir.itp.ac.cn/handle/311006/23684]
专题	SCI会议论文
作者单位	1.Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China 2.Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wu, K,Zhao, WZ,Guo, HY. Difference discrete connection and curvature on cubic lattice[C]. 见:. Univ Sci & Technol China, Hefei, PEOPLES R CHINA. JUN 20-25, 2005-2006.