Slant Riemannian submersions from Sasakian manifolds

• Main Authors: I. Küpeli Erken, C. Murathan
• Format: Article
• Language: English
• Published: Emerald Publishing 2016-07-01
• Series: Arab Journal of Mathematical Sciences
• Subjects: Riemannian submersion; Sasakian manifold; Anti-invariant submersion; Slant submersion
• Online Access: http://www.sciencedirect.com/science/article/pii/S1319516616000037

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.