DIRAC OPERATORS ON LIGHTLIKE HYPERSURFACES
Indian Journal of Mathematics, cilt.66, sa.1, ss.1-21, 2024 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 66 Sayı: 1
- Basım Tarihi: 2024
- Dergi Adı: Indian Journal of Mathematics
- Derginin Tarandığı İndeksler: Scopus, zbMATH
- Sayfa Sayıları: ss.1-21
- Anahtar Kelimeler: degenerate spin manifold, lightlike vector, spin geometry
- Akdeniz Üniversitesi Adresli: Evet
Özet
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.