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http://dx.doi.org/10.5831/HMJ.2022.44.3.339

CHEN INEQUALITIES ON LIGHTLIKE HYPERSURFACES OF A LORENTZIAN MANIFOLD WITH SEMI-SYMMETRIC NON-METRIC CONNECTION  

Poyraz, Nergiz (Onen) (Department of Mathematics, Faculty of Arts and Sciences, Cukurova University)
Publication Information
Honam Mathematical Journal / v.44, no.3, 2022 , pp. 339-359 More about this Journal
Abstract
In this paper, we investigate k-Ricci curvature and k-scalar curvature on lightlike hypersurfaces of a real space form ${\tilde{M}}$(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 ${\tilde{M}}$(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.
Keywords
Chen inequality; Lightlike hypersurface; Lorentzian manifold; Semisymmetric non-metric connection;
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