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

Noura Alhouiti; Fatemah Mofarreh; Fatemah Abdullah Alghamdi; Akram Ali; Piscoran-Ioan Laurian; Noura Alhouiti; Fatemah Mofarreh; Fatemah Abdullah Alghamdi; Akram Ali; Piscoran-Ioan Laurian

doi:10.3934/math.20241224

AIMS Mathematics

2024, Volume 9, Issue 9: 25114-25126. doi: 10.3934/math.20241224

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

1.
Department of Basic Sciences, University College of Haqel, University of Tabuk, 71491 Tabuk, Saudi Arabia
2.
Mathematical Science Department, Faculty of Science Princess Nourah bint Abdulrahman University, Riyadh 11546, Saudi Arabia
3.
Financial Sciences Department, Applied College, Imam Abdulrahman Bin Faisal University, Dammam, Saudi Arabia
4.
Department of Mathematics, King Khalid University, Abha, Saudi Arabia
5.
Department of Mathematics and Computer Science Victoriei 76, North University Center of Baia Mare Technical University of Cluj Napoca, 430122, Baia Mare, Romania

Received: 08 April 2024 Revised: 30 July 2024 Accepted: 01 August 2024 Published: 28 August 2024
MSC : 53C15, 53C40, 54C65, 55N25

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.
- CR-warped products,
- nearly Kaehler manifold,
- fundamental groups
Citation: Noura Alhouiti, Fatemah Mofarreh, Fatemah Abdullah Alghamdi, Akram Ali, Piscoran-Ioan Laurian. Geometric topology of CR-warped products in six-dimensional sphere[J]. AIMS Mathematics, 2024, 9(9): 25114-25126. doi: 10.3934/math.20241224

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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.

References

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