Mathematica Bohemica, first online, pp. 1-24


Conformal quasi-hemi-slant $\xi^{\perp}$-Riemannian submersions from Sasakian manifolds

Fortuné Massamba, Pontsho Moile

Received May 5, 2024.   Published online December 25, 2024.

Abstract:  We introduce some geometric properties of a horizontally conformal quasi-hemi-slant Riemannian submersion from a Sasakian manifold, normal to the characteristic vector field, supported by an example. Under some conditions, we obtain geometric configurations of fibres and the base manifold of such submersions. We also give a characterization theorem for the proper horizontal conformal quasi-hemi-slant Riemannian submersions with totally umbilical fibres.
Keywords:  conformal submersion; slant submersion; quasi-hemi-slant submersion; Sasakian manifold
Classification MSC:  53C15, 53C25

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Affiliations:   Fortuné Massamba (corresponding author), School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X01, Scottsville 3209, Pietermaritzburg, South Africa, e-mail: massfort@yahoo.fr, Massamba@ukzn.ac.za; Pontsho Moile, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X01, Scottsville 3209, Pietermaritzburg, South Africa; Department of Mathematics, University of Botswana, Private Bag 0022, Gaborone, Botswana, e-mail: Moilep@ub.ac.bw


 
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