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Clairaut Anti-invariant Submersions from Sasakian and Kenmotsu Manifolds

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We investigate new Clairaut conditions for anti-invariant submersions from Sasakian and Kenmotsu manifolds onto Riemannian manifolds. We prove that there do not exist Clairaut anti-invariant submersion admitting vertical Reeb vector… Click to show full abstract

We investigate new Clairaut conditions for anti-invariant submersions from Sasakian and Kenmotsu manifolds onto Riemannian manifolds. We prove that there do not exist Clairaut anti-invariant submersion admitting vertical Reeb vector field in case of the total manifold is Sasakian. Several illustrative examples are also included.

Keywords: kenmotsu manifolds; invariant submersions; clairaut anti; anti invariant; submersions sasakian; sasakian kenmotsu

Journal Title: Mediterranean Journal of Mathematics
Year Published: 2017

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