Chen inequalities on lightlike hypersurfaces of a GRW spacetime

POYRAZ N.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, cilt.19, sa.01, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 01
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1142/s0219887822500116
  • Dergi Adı: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Lightlike hypersurface, Lorentzian manifold, Chen inequalities, Chen-Ricci inequality, generalized Robertson-Walker spacetimes, ROBERTSON-WALKER SPACETIMES, SHAPE OPERATOR, MEAN-CURVATURE, GEOMETRY
  • Çukurova Üniversitesi Adresli: Evet

Özet

In this paper, we introduce k-Ricci curvature and k-scalar curvature on lightlike hypersurfaces of a GRW spacetime. Using these curvatures, we establish some inequalities for lightlike hypersurfaces of a GRW spacetime. Using these inequalities, we obtain some characterizations on lightlike hypersurfaces. We also get Chen-Ricci inequality and Chen inequality on a screen homothetic lightlike hypersurfaces of a GRW spacetime.