On CSI-ξ^˔-Riemannian submersions from Sasakian manifold

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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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-02-22
DOI
https://doi.org/10.5269/bspm.65185
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
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On CSI-ξ^˔-Riemannian submersions from Sasakian manifold

Rajendra Prasad, Kumar Sushil, Kumar Sumeet
Boletim da Sociedade Paranaense de Matemática
Geometric Analysis and Curvature Flows
article

On CSI-ξ^˔-Riemannian submersions from Sasakian manifold

Rajendra Prasad, Kumar Sushil, Kumar Sumeet
article en

Abstract

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.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
University of Lucknow (IN)
Openalex Percentile: Top 76%
Geometric Analysis and Curvature Flows
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