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Research Article | Open Access

Geometric topology of CR-warped products in six-dimensional sphere

Noura Alhouiti1, Fatemah Mofarreh2, Fatemah Abdullah Alghamdi3, Akram Ali4( ), Piscoran-Ioan Laurian5
Department of Basic Sciences, University College of Haqel, University of Tabuk, 71491 Tabuk, Saudi Arabia
Mathematical Science Department, Faculty of Science Princess Nourah bint Abdulrahman University, Riyadh 11546, Saudi Arabia
Financial Sciences Department, Applied College, Imam Abdulrahman Bin Faisal University, Dammam, Saudi Arabia
Department of Mathematics, King Khalid University, Abha, Saudi Arabia
Department of Mathematics and Computer Science Victoriei 76, North University Center of Baia Mare Technical University of Cluj Napoca, 430122, Baia Mare, Romania
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Abstract

In this paper, we prove that a three-dimensional CR-warped product submanifold of a nearly Kaehler six-dimensional sphere, under some restrictions, contains finite fundamental groups. Using another approach from the theory of eigenvalues and also the gradient of Ricci curvature, we obtain similar results.

Keywords

CR-warped productsnearly Kaehler manifoldfundamental groups
CLC number: 53C15, 53C40, 54C65, 55N25

References

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AIMS Mathematics
Volume 9 Issue 9,
September 2024
Pages 25114-25126
DOI: 10.3934/math.20241224

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Cite this article:
Alhouiti N, Mofarreh F, Alghamdi FA, et al. Geometric topology of CR-warped products in six-dimensional sphere. AIMS Mathematics, 2024, 9(9): 25114-25126. https://doi.org/10.3934/math.20241224

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Received: 08 April 2024
Revised: 30 July 2024
Accepted: 01 August 2024
Published: 15 September 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)