| HYPERHOLOMORPHIC THEORY ON KAEHLER MANIFOLDS | |
| Tang Dongmei ; Zhong Tongde ; Qiu Chunhui ; Qiu CH(邱春晖) | |
| 2012-03 | |
| 关键词 | FORMS |
| 英文摘要 | National Natural Science Foundation of China [10771174, 10601040, 10971170]; Scientific Research Foundation of Xiamen University of Technology [700298]; First of all, using the relations (2.3), (2.4), and (2.5), we define a complex Clifford algebra W-n and the Witt basis. Secondly, we utilize the Witt basis to define the operators (partial derivative) and (partial derivative)boolean AND on Kaehler manifolds which act on W-n-valued functions. In addition, the relation between above operators and Hodge-Laplace operator is argued. Then, the Borel-Pompeiu formulas for W-n-valued functions are derived through designing a matrix Dirac operator (D) over bar and a 2 x 2 matrix-valued invariant integral kernel with the Witt basis. |
| 语种 | 英语 |
| 内容类型 | 期刊论文 |
| 源URL | [http://dspace.xmu.edu.cn/handle/2288/66715]  |
| 专题 | 数学科学－已发表论文 |
| 推荐引用方式 GB/T 7714 | Tang Dongmei,Zhong Tongde,Qiu Chunhui,et al. HYPERHOLOMORPHIC THEORY ON KAEHLER MANIFOLDS[J],2012. |
| APA | Tang Dongmei,Zhong Tongde,Qiu Chunhui,&邱春晖.(2012).HYPERHOLOMORPHIC THEORY ON KAEHLER MANIFOLDS.. |
| MLA | Tang Dongmei,et al."HYPERHOLOMORPHIC THEORY ON KAEHLER MANIFOLDS".(2012). |
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