B. Y. Chen-Ricci inequalities for anti-invariant Riemannian submersions in Kenmotsu space forms

The aim of the present paper is to analyze sharp type inequalities including the scalar and Ricci curvatures of anti-invariant Riemannian submersions in Kenmotsu space forms \(K_{s}(\varepsilon )\) $K_s(\epsilon )$ . We give non-trivial examples for anti-invariant Riemannian submersions, investigate some curvature relations between the total space and fibres according to vertical and horizontal cases of \(\xi \) $\xi$ . Moreover, we acquire Chen-Ricci inequalities on the \(\ker \vartheta _{*}\) $ker{\vartheta }_{\ast }$ and \((\ker \vartheta _{*})^{\bot }\) ${(ker{\vartheta }_{\ast })}^{\perp }$ distributions for anti-invariant Riemannian submersions from Kenmotsu space forms according to vertical and horizontal cases of \(\xi \) $\xi$ .