General decomposition theory of spin connections topological structure of Gauss-Bonnet-Chern density and the morse theory

	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
	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.