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Nergiz (Onen) Poyraz 호남수학회 2022 호남수학학술지 Vol.44 No.3
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.
SHARP INEQUALITIES INVOLVING THE CHEN-RICCI INEQUALITY FOR SLANT RIEMANNIAN SUBMERSIONS
Mehmet Akif Akyol,Nergiz (Onen) Poyraz 대한수학회 2023 대한수학회보 Vol.60 No.5
Main objective of the present paper is to establish Chen inequalities for slant Riemannian submersions in contact geometry. In this manner, we give some examples for slant Riemannian submersions and also investigate some curvature relations between the total space, the base space and fibers. Moreover, we establish Chen-Ricci inequalities on the vertical and the horizontal distributions for slant Riemannian submersions from Sasakian space forms.