SPINOR COVARIANT DERIVATIVE ON DEGENERATE MANIFOLDS

AYDIN ŞEKERCİ G., ÇÖKEN A. C.

REPORTS ON MATHEMATICAL PHYSICS, vol.86, no.2, pp.241-262, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 86 Issue: 2
  • Publication Date: 2020
  • Doi Number: 10.1016/s0034-4877(20)30074-4
  • Journal Name: REPORTS ON MATHEMATICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.241-262
  • Keywords: spin geometry, spin manifold, fiber bundles, Clifford algebras, Lorentz metrics, CLIFFORD ALGEBRAS
  • Akdeniz University Affiliated: Yes

Abstract

In this work, we define a spinor covariant derivative for degenerate manifolds with 4-dimensions. To perform this, we have found the principal bundle by using a degenerate spin group. Then, we benefit from a covering map to establish a relationship between the local connection forms of principal bundles. After that, we define a covariant derivative on a degenerate spinor bundle which is an associated bundle.