A Study of $\phi$-Pluriharmonicity in Quasi bi-slant Conformal $\xi^\perp$-Submersions From Kenmotsu Manifold

Year 2024, Volume: 17 Issue: 2, 317 - 335, 27.10.2024

Ibrahim Al-dayel , Mohammad Shuaib , Tanveer Fatima , Fahad Sikander

https://doi.org/10.36890/iejg.1312986

Abstract

In the present research paper, we look into quasi bi-slant conformal $\xi^{\perp}$-submersions from Kenmotsu manifolds onto Riemannian manifolds as a generalisation of quasi hemi-slant conformal submersions. We investigate the geometry of distributions's leaves in order to explain integrability conditions for distributions. Furthermore, we study of certain decomposition theorems, additionaly provide non-trivial examples of quasi bi-slant conformal $\xi^{\perp}$-submersions from Kenmotsu manifolds. We also look at the $\phi$-pluriharmonicity of quasi bi-slant conformal $\xi^{\perp}$-submersions.

Keywords

Kenmotsu manifold, Riemannian submersions, bi-slant submersions, quasi bi-slant submersions

Supporting Institution

The Deanship of Scientific research, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia,

Project Number

(221412008)

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