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Slant Riemannian submersions from Sasakian manifolds

By I. Küpeli Erken and C. Murathan


We introduce and characterize slant Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. We survey main results of slant Riemannian submersions defined on Sasakian manifolds. We give a sufficient condition for a slant Riemannian submersion from Sasakian manifolds onto Riemannian manifolds to be harmonic. We also give an example of such slant submersions. Moreover, we find a sharp inequality between the scalar curvature and norm squared mean curvature of fibres

Topics: Riemannian submersion, Sasakian manifold, Anti-invariant submersion, Slant submersion, Mathematics, QA1-939
Publisher: Elsevier
Year: 2016
DOI identifier: 10.1016/j.ajmsc.2015.12.002
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