Conformal bi-slant submersion from Kenmotsu manifolds

Ibrahim Al-Dayel; Mohammad Shuaib; Ibrahim Al-Dayel; Mohammad Shuaib

doi:10.3934/math.20231546

AIMS Mathematics

2023, Volume 8, Issue 12: 30269-30286. doi: 10.3934/math.20231546

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Research article

Conformal bi-slant submersion from Kenmotsu manifolds

Ibrahim Al-Dayel ¹,
Mohammad Shuaib ^{2
,
,}

1.
Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, P. O. Box 65892, Riyadh 11566, Saudi Arabia; iaaldayel@imamu.edu.sa
2.
Department of Mathematics, Lovely Professional University, Punjab, India

Received: 22 August 2023 Revised: 20 October 2023 Accepted: 30 October 2023 Published: 07 November 2023
MSC : 53D10, 53C435

The prospect of conformal bi-slant submersions from a Kenmotsu manifold is discussed in the present article, taking into account that the Reeb vector field $ \xi $ is vertical. We looked at the integrability of distributions as well as the geometry of distribution leaves since the concept of bi-slant submersion ensures the presence of slant distributions. Finally, the idea of pluriharmonicity is also described in the paper, along with a supporting example for our research.
- Kenmotsu manifold,
- Riemannian submersions,
- conformal bi-slant submersions
Citation: Ibrahim Al-Dayel, Mohammad Shuaib. Conformal bi-slant submersion from Kenmotsu manifolds[J]. AIMS Mathematics, 2023, 8(12): 30269-30286. doi: 10.3934/math.20231546

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Abstract

The prospect of conformal bi-slant submersions from a Kenmotsu manifold is discussed in the present article, taking into account that the Reeb vector field $ \xi $ is vertical. We looked at the integrability of distributions as well as the geometry of distribution leaves since the concept of bi-slant submersion ensures the presence of slant distributions. Finally, the idea of pluriharmonicity is also described in the paper, along with a supporting example for our research.

References

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