Exterior difference system on hypercubic lattice
文献类型：期刊论文
| 作者 | Xie, Zheng; Li, Hongbo
|
| 刊名 | ACTA APPLICANDAE MATHEMATICAE
 |
| 出版日期 | 2007-10-01 |
| 卷号 | 99期号:1页码:97-116 |
| 关键词 | exterior difference system discrete Frobenius theorem discrete Cartan-Kahler theorem discrete retraction theorem noncommutative calculus |
| ISSN号 | 0167-8019 |
| DOI | 10.1007/s10440-007-9158-2 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000250059400004 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4315]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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