SHARP INEQUALITIES INVOLVING THE RICCI CURVATURE FOR RIEMANNIAN SUBMERSIONS

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Tarih

2017

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info:eu-repo/semantics/openAccess

Özet

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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Riemannian manifold, Riemannian submersion, Chen-Ricci inequality

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