GENERAL DECOMPOSITION OF SPIN CONNECTION AND TOPOLOGICAL-STRUCTURE INGAUSS-BONNET-CHERN DENSITY

Authors
Citation
Ys. Duan et Xg. Li, GENERAL DECOMPOSITION OF SPIN CONNECTION AND TOPOLOGICAL-STRUCTURE INGAUSS-BONNET-CHERN DENSITY, Communications in Theoretical Physics, 29(2), 1998, pp. 237-244
Citations number
30
Categorie Soggetti
Physics
ISSN journal
02536102
Volume
29
Issue
2
Year of publication
1998
Pages
237 - 244
Database
ISI
SICI code
0253-6102(1998)29:2<237:GDOSCA>2.0.ZU;2-J
Abstract
By means of devices of geometric algebra the general decomposition of spin connection on the sphere bundle of a compact n-dimensional Rieman nian manifold has been studied in detail. Using this decomposition the ory it is shown that the Gauss-Bonnet-Chern density of the Euler-Poinc are characteristic can be expressed in terms of a smooth vector field phi and take the form of the delta function delta(phi). The topologica l structure in Gauss-Bonnet-Chern theorem is reviewed.