DIRAC OPERATORS ON LIGHTLIKE HYPERSURFACES
Indian Journal of Mathematics, vol.66, no.1, pp.1-21, 2024 (Scopus)
- Publication Type: Article / Article
- Volume: 66 Issue: 1
- Publication Date: 2024
- Journal Name: Indian Journal of Mathematics
- Journal Indexes: Scopus, zbMATH
- Page Numbers: pp.1-21
- Keywords: degenerate spin manifold, lightlike vector, spin geometry
- Akdeniz University Affiliated: Yes
Abstract
In this study, we obtain a spinorial Gauss formula for a lightlike hypersurface in Lorentzian manifold with 4-dimension. Then, considering the degenerate metric on hypersurfa.ce, we investigate Dirac operator for lightlike hypersurface. Later, we establish the relation between Dirac operators and Riemannian curvatures of manifold and hypersurface.