CHEN-LIKE INEQUALITIES ON LIGHTLIKE HYPERSURFACE OF A LORENTZIAN PRODUCT MANIFOLD WITH QUARTER-SYMMETRIC NONMETRIC CONNECTION

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POYRAZ N., YAŞAR E.

KRAGUJEVAC JOURNAL OF MATHEMATICS, vol.40, no.2, pp.146-164, 2016 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 2
  • Publication Date: 2016
  • Doi Number: 10.5937/kgjmath1602146p
  • Journal Name: KRAGUJEVAC JOURNAL OF MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.146-164
  • Çukurova University Affiliated: Yes

Abstract

In this paper, we introduce k-Ricci curvature and k-scalar curvature on lightlike hypersurface of a Lorentzian product manifold with quarter-symmetric nonmetric connection. Using these curvatures, we establish some Chen-type inequalities for lighlike hypersurface of a Lorentzian product manifold with quarter-symmetric nonmetric connection. Considering the equality case, we obtain some results.