Chen inequalities for slant Riemannian submersions from cosymplectic space forms

Abstract

In the present paper, we introduce Chen inequalities for slant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We provide trivial and non-trivial examples for slant Riemannian submersions, investigate some curvature relations between the total space, the base space and fibres. Moreover, we obtain Chen-Ricci inequalities on the vertical and the horizontal distributions for slant Riemannian submersions from cosymplectic space forms.