Reports on Mathematical Physics, vol.86, no.2, pp.241-262, 2020 (SCI-Expanded)
Article / Article
Reports on Mathematical Physics
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Clifford algebras, fiber bundles, Lorentz metrics, spin geometry, spin manifold
Süleyman Demirel University Affiliated:
© 2020 Polish Scientific PublishersIn 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.