SHARP INEQUALITIES INVOLVING THE RICCI CURVATURE FOR RIEMANNIAN SUBMERSIONS

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Gulbahar M., Meric S. E., Kilic E.

KRAGUJEVAC JOURNAL OF MATHEMATICS, vol.41, no.2, pp.279-293, 2017 (ESCI, Scopus) identifier identifier

Abstract

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.