Ali, Akram and Mofarreh, Fatemah and Mior Othman, Wan Ainun and Patra, Dhriti Sundar (2020) Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms. Journal of Inequalities and Applications, 2020 (1). ISSN 10255834, DOI https://doi.org/10.1186/s13660-020-02510-w.
Full text not available from this repository.Abstract
In the present, we first obtain Chen-Ricci inequality for C-totally real warped product submanifolds in cosymplectic space forms. Then, we focus on characterizing spheres and Euclidean spaces, by using the Bochner formula and a second-order ordinary differential equation with geometric inequalities. We derive the characterization for the base of the warped product via the first eigenvalue of the warping function. Also, it proves that there is an isometry between the base N-1 and the Euclidean sphere S-m1 under some different extrinsic conditions.
| Item Type: | Article |
|---|---|
| Funders: | Deanship of Scientific Research at Princess Nourah bint Abdulrahman University, Princess Nourah Bint Abdulrahman University |
| Uncontrolled Keywords: | Warped product submanifolds; Cosymplectic space forms; Obata differential equation; Isometric; Geometric inequalities |
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms Zaharah Ramly |
| Date Deposited: | 28 Oct 2024 04:29 |
| Last Modified: | 28 Oct 2024 04:29 |
| URI: | http://eprints.um.edu.my/id/eprint/36260 |
Actions (login required)
 |
View Item |
