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On CSI-ξ^˔-Riemannian submersions from Sasakian manifold
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In the present paper, we study the Clairaut semi-invariant \xi-Riemannian submersions (CSI- \xi-Riemannian submersions, in short) from Sasakian manifolds onto Riemannian manifolds. We investigate fundamental results pertaining to the geometry of introduced submersions. We also work out integrability conditions and totally geodesicness of distributions dened in such submersions. Finally, we construct a non-example of CSI -\xi Riemannian submersion from 5 dimensional Sasakian manifold onto Riemannian.
Sociedade Paranaense de Matemática
Title: On CSI-ξ^˔-Riemannian submersions from Sasakian manifold
Description:
In the present paper, we study the Clairaut semi-invariant \xi-Riemannian submersions (CSI- \xi-Riemannian submersions, in short) from Sasakian manifolds onto Riemannian manifolds.
We investigate fundamental results pertaining to the geometry of introduced submersions.
We also work out integrability conditions and totally geodesicness of distributions dened in such submersions.
Finally, we construct a non-example of CSI -\xi Riemannian submersion from 5 dimensional Sasakian manifold onto Riemannian.
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