General decomposition theory of spin connections topological structure of Gauss-Bonnet-Chern density and the morse theory | |
Duan, YS; Lee, XG | |
刊名 | HELVETICA PHYSICA ACTA
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1995 | |
卷号 | 68页码:513-530 |
ISSN号 | 0018-0238 |
英文摘要 | By means of methods of the geometric algebra the general decomposition of the spin connections on the sphere bundle of a compact n-dimensional Riemannian manifold has been studied in detail. Using this decomposition theory it is shown that the Gauss-Bonnet-Chern density of the Euler-Poincare characteristic can be expressed as a a-function of a smooth vector field delta(<(phi)over right arrow>). The topological structure of the Gauss-Bonnet-Chern density is detailed. Furthermore the Morse theory formula of the Euler-Poincare characteristic has been obtained via the topological structure. |
WOS关键词 | GAUGE FIELD-THEORY ; DISCLINATION CONTINUUM ; DISLOCATION |
WOS研究方向 | Physics |
语种 | 英语 |
出版者 | BIRKHAUSER VERLAG AG |
WOS记录号 | WOS:A1995UD19900001 |
内容类型 | 期刊论文 |
源URL | [http://119.78.100.186/handle/113462/56848] ![]() |
专题 | 中国科学院近代物理研究所 |
通讯作者 | Duan, YS |
作者单位 | 1.ACAD SINICA,INST MODERN PHYS,LANZHOU 730000,PEOPLES R CHINA 2.NW NORMAL UNIV,DEPT PHYS,LANZHOU 730070,GANSU,PEOPLES R CHINA |
推荐引用方式 GB/T 7714 | Duan, YS,Lee, XG. General decomposition theory of spin connections topological structure of Gauss-Bonnet-Chern density and the morse theory[J]. HELVETICA PHYSICA ACTA,1995,68:513-530. |
APA | Duan, YS,&Lee, XG.(1995).General decomposition theory of spin connections topological structure of Gauss-Bonnet-Chern density and the morse theory.HELVETICA PHYSICA ACTA,68,513-530. |
MLA | Duan, YS,et al."General decomposition theory of spin connections topological structure of Gauss-Bonnet-Chern density and the morse theory".HELVETICA PHYSICA ACTA 68(1995):513-530. |
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