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

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Poyraz N.

HONAM MATHEMATICAL JOURNAL, cilt.44, sa.3, ss.339-359, 2022 (ESCI)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.5831/hmj.2022.44.3.339
  • Dergi Adı: HONAM MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.339-359
  • Çukurova Üniversitesi Adresli: Evet

Özet

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.