Study of Differential Equations on Warped Product Semi-Invariant Submanifolds of the Generalized Sasakian Space Forms
The purpose of the present paper is to study the applications of Ricci curvature inequalities of warped product semi-invariant product submanifolds in terms of some differential equations. More precisely, by analyzing Bochner’s formula on these inequalities, we demonstrate that, under certain condit...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/7042949 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561404604841984 |
|---|---|
| author | Ibrahim Al-Dayel |
| author_facet | Ibrahim Al-Dayel |
| author_sort | Ibrahim Al-Dayel |
| collection | DOAJ |
| description | The purpose of the present paper is to study the applications of Ricci curvature inequalities of warped product semi-invariant product submanifolds in terms of some differential equations. More precisely, by analyzing Bochner’s formula on these inequalities, we demonstrate that, under certain conditions, the base of these submanifolds is isometric to Euclidean space. We also look at the effects of certain differential equations on warped product semi-invariant product submanifolds and show that the base is isometric to a special type of warped product under some geometric conditions. |
| format | Article |
| id | doaj-art-0a0ec0fc9b8d4bb48c67d280d11ddb7d |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-0a0ec0fc9b8d4bb48c67d280d11ddb7d2025-02-03T01:24:59ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/70429497042949Study of Differential Equations on Warped Product Semi-Invariant Submanifolds of the Generalized Sasakian Space FormsIbrahim Al-Dayel0Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11566, Saudi ArabiaThe purpose of the present paper is to study the applications of Ricci curvature inequalities of warped product semi-invariant product submanifolds in terms of some differential equations. More precisely, by analyzing Bochner’s formula on these inequalities, we demonstrate that, under certain conditions, the base of these submanifolds is isometric to Euclidean space. We also look at the effects of certain differential equations on warped product semi-invariant product submanifolds and show that the base is isometric to a special type of warped product under some geometric conditions.http://dx.doi.org/10.1155/2021/7042949 |
| spellingShingle | Ibrahim Al-Dayel Study of Differential Equations on Warped Product Semi-Invariant Submanifolds of the Generalized Sasakian Space Forms Advances in Mathematical Physics |
| title | Study of Differential Equations on Warped Product Semi-Invariant Submanifolds of the Generalized Sasakian Space Forms |
| title_full | Study of Differential Equations on Warped Product Semi-Invariant Submanifolds of the Generalized Sasakian Space Forms |
| title_fullStr | Study of Differential Equations on Warped Product Semi-Invariant Submanifolds of the Generalized Sasakian Space Forms |
| title_full_unstemmed | Study of Differential Equations on Warped Product Semi-Invariant Submanifolds of the Generalized Sasakian Space Forms |
| title_short | Study of Differential Equations on Warped Product Semi-Invariant Submanifolds of the Generalized Sasakian Space Forms |
| title_sort | study of differential equations on warped product semi invariant submanifolds of the generalized sasakian space forms |
| url | http://dx.doi.org/10.1155/2021/7042949 |
| work_keys_str_mv | AT ibrahimaldayel studyofdifferentialequationsonwarpedproductsemiinvariantsubmanifoldsofthegeneralizedsasakianspaceforms |