DIRAC OPERATORS ON LIGHTLIKE HYPERSURFACES

Şekerci G. A., ÇÖKEN A. C.

Indian Journal of Mathematics, cilt.66, sa.1, ss.1-21, 2024 (Scopus) identifier

  • 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.