Chen inequalities on lightlike hypersurfaces of a Lorentzian manifold with semi-symmetric non-metric connection

Creative Commons License

Poyraz N.

HONAM MATHEMATICAL JOURNAL, vol.44, no.3, pp.339-359, 2022 (ESCI)

  • Publication Type: Article / Article
  • Volume: 44 Issue: 3
  • Publication Date: 2022
  • Doi Number: 10.5831/hmj.2022.44.3.339
  • Journal Name: HONAM MATHEMATICAL JOURNAL
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.339-359
  • Çukurova University Affiliated: Yes

Abstract

In this paper, we investigate k-Ricci curvature and k-scalar curvature on lightlike hypersurfaces of a real space form M˜ (c) of constant sectional curvature c, endowed with semi-symmetric non-metric connection. Using this curvatures, we establish some inequalities for screen homothetic lightlike hypersurface of a real space form M˜ (c) of constant sectional curvature c, endowed with semi-symmetric non-metric connection. Using these inequalities, we obtain some characterizations for such hypersurfaces. Considering the equality case, we obtain some results.