Geometric topology of CR-warped products in six-dimensional sphere-Reference-Cited by-同舟云学术

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

Published:2024 Issue:9 Volume:9 Page:25114-25126
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Alhouiti Noura¹,Mofarreh Fatemah²,Alghamdi Fatemah Abdullah³,Ali Akram⁴,Laurian Piscoran-Ioan⁵

Affiliation:

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

Abstract

<p>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.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference39 articles.

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