Slant Riemannian submersions from Sasakian manifolds
İrem Küpeli Erken, Cengizhan Murathan
Abstract
İrem Küpeli Erken, Cengizhan Murathan
Abstract
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.
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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.
Key concepts: Mathematics, Riemannian submersion, Scalar curvature, Curvature of Riemannian manifolds, Ricci-flat manifold, Pure mathematics, Sectional curvature, Mathematical analysis