Open AccessALGEBRA AND STRUCTURES OF SPINORS FIBER BUNDLES
Author(s) -
Adam Abdallah,
Yousif Eltaeeb
Publication year - 2015
Language(s) - English
Resource type - Journals
ISSN - 1858-6198
DOI - 10.52981/oiuj.v11i1.1687
Subject(s) - spinor , clifford algebra , dirac operator , fiber bundle , cohomology , mathematics , algebra over a field , pure mathematics , clifford bundle , dirac (video compression format) , vector bundle , fiber , physics , mathematical physics , frame bundle , quantum mechanics , normal bundle , materials science , composite material , neutrino
The aim of this paper is to investigate the mathematics of spinor bundles and their classification. We devote the methods of principal fiber bundles allows through a coherent treatment of Pseudo-Riemannian manifolds and spinor structures with Clifford algebras which couple to Dirac operator to study important applications in cohomology theory.