Sharp inequalities involving the Ricci curvature for Riemannian submersions. (English) Zbl 1488.53077
Summary: 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.
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