$ \phi $-pluriharmonicity in quasi bi-slant conformal $ \xi^\perp $-submersions: a comprehensive study

Ibrahim Al-Dayel; Mohammad Shuaib; Sharief Deshmukh; Tanveer Fatima; Ibrahim Al-Dayel; Mohammad Shuaib; Sharief Deshmukh; Tanveer Fatima

doi:10.3934/math.20231109

AIMS Mathematics

2023, Volume 8, Issue 9: 21746-21768. doi: 10.3934/math.20231109

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Research article

$ \phi $-pluriharmonicity in quasi bi-slant conformal $ \xi^\perp $-submersions: a comprehensive study

1.
Deparment of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia
2.
Department of Mathematics, Aligarh Muslim University, Aligarh, India
3.
Department of Mathematics, King Saud University, Riyadh, Saudi Arabia
4.
Department of Mathematics and Statistics, College of Sciences, Taibah University, Yanbu, K.S.A

Received: 29 May 2023 Revised: 20 June 2023 Accepted: 28 June 2023 Published: 10 July 2023
MSC : 53C43, 53D10

This paper delves into quasi bi-slant conformal $ \xi^{\perp} $-submersions from Sasakian manifolds onto Riemannian manifolds, which is a generalization of quasi hemi-slant conformal submersions. Our research involves studying the integrability conditions for distributions, taking into account the geometry of their leaves. We also provide decomposition theorems for quasi bi-slant conformal $ \xi^{\perp} $-submersions, and showcase non-trivial examples to illustrate our findings. Furthermore, we analyze the $ \varphi $-pluriharmonicity of such submersions.
- Sasakian manifold,
- Riemannian submersions,
- bi-slant submersions,
- quasi bi-slant submersions,
- Riemannian submersions
Citation: Ibrahim Al-Dayel, Mohammad Shuaib, Sharief Deshmukh, Tanveer Fatima. $ \phi $-pluriharmonicity in quasi bi-slant conformal $ \xi^\perp $-submersions: a comprehensive study[J]. AIMS Mathematics, 2023, 8(9): 21746-21768. doi: 10.3934/math.20231109

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Abstract

This paper delves into quasi bi-slant conformal $ \xi^{\perp} $-submersions from Sasakian manifolds onto Riemannian manifolds, which is a generalization of quasi hemi-slant conformal submersions. Our research involves studying the integrability conditions for distributions, taking into account the geometry of their leaves. We also provide decomposition theorems for quasi bi-slant conformal $ \xi^{\perp} $-submersions, and showcase non-trivial examples to illustrate our findings. Furthermore, we analyze the $ \varphi $-pluriharmonicity of such submersions.

References

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