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Research Article | Open Access

On Riemannian warped-twisted product submersions

Richa Agarwal1, Fatemah Mofarreh2, Sarvesh Kumar Yadav3, Shahid Ali1, Abdul Haseeb4( )
Department of Mathematics, Faculty of Sciences, Aligarh Muslim University, Aligarh-202002, India
Mathematical Science Department, Faculty of Sciences, Princess Nourah Bint Abdulrahman University, Riyadh-11546, Kingdom of Saudi Arabia
Department of Mathematics, Faculty of Sciences, Jamia Millia Islamia, New Delhi-110025, India
Department of Mathematics, College of Science, Jazan University, Jazan-45142, Kingdom of Saudi Arabia
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Abstract

In this paper, we introduce the concepts of Riemannian warped-twisted product submersions and examine their fundamental properties, including total geodesicity, total umbilicity and minimality. Additionally, we investigate the Ricci tensor of Riemannian warped-twisted product submersions, specifically about the horizontal and vertical distributions. Finally, we obtain Einstein condition for base manifold if the horizontal and vertical distributions of the ambient manifold is Einstein.

Keywords

warped productwarped-twisted productRiemannian submersion
CLC number: 53C15, 53C40, 53C50

References

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AIMS Mathematics
Volume 9 Issue 2,
February 2024
Pages 2925-2937
DOI: 10.3934/math.2024144

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Cite this article:
Agarwal R, Mofarreh F, Yadav SK, et al. On Riemannian warped-twisted product submersions. AIMS Mathematics, 2024, 9(2): 2925-2937. https://doi.org/10.3934/math.2024144

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Received: 24 August 2023
Revised: 26 November 2023
Accepted: 06 December 2023
Published: 15 February 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)