Exterior difference system on hypercubic lattice

doi:10.1007/s10440-007-9158-2

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	Exterior difference system on hypercubic lattice
	Xie, Zheng; Li, Hongbo
	2007-10-01
发表期刊	ACTA APPLICANDAE MATHEMATICAE
ISSN	0167-8019
卷号	99 期号:1 页码:97-116
摘要	Based on the exterior differential calculus, we define the exterior difference system on the hypercubic lattice. The pairing formula, bracket, contract operator and Lie derivative operator for this system are also constructed. The discrete H. Cartan formulas are obtained too. After those preparations, we prove the discrete Frobenius Theorem, discrete retraction theorem and discrete Cartan-Kahler theorem.
关键词	exterior difference system discrete Frobenius theorem discrete Cartan-Kahler theorem discrete retraction theorem noncommutative calculus
DOI	10.1007/s10440-007-9158-2
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000250059400004
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4316
专题	系统科学研究所
通讯作者	Xie, Zheng
作者单位	Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xie, Zheng,Li, Hongbo. Exterior difference system on hypercubic lattice[J]. ACTA APPLICANDAE MATHEMATICAE,2007,99(1):97-116.
APA	Xie, Zheng,&Li, Hongbo.(2007).Exterior difference system on hypercubic lattice.ACTA APPLICANDAE MATHEMATICAE,99(1),97-116.
MLA	Xie, Zheng,et al."Exterior difference system on hypercubic lattice".ACTA APPLICANDAE MATHEMATICAE 99.1(2007):97-116.