Sharp Inequalities Involving the Ricci Curvature for Riemannian Submersions

M. G�lbahar, S. Eken Meric, E. Kilic

In this paper, we obtain sharp inequalities on Riemannian manifolds admitting a Riemannian submersion and give some characterizations using these inequalities. We improve Chen-Ricci inequality for Riemannian submersion and present some examples which satisfy this inequality.