Ricci Curvature for Warped Product Submanifolds of Sasakian Space Forms and Its Applications to Differential Equations
In the present paper, we establish a Chen–Ricci inequality for a C-totally real warped product submanifold Mn of Sasakian space forms M2m+1ε. As Chen–Ricci inequality applications, we found the characterization of the base of the warped product Mn via the first eigenvalue of Laplace–Beltrami operato...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/1207646 |
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| author | Fatemah Mofarreh Akram Ali Nadia Alluhaibi Olga Belova |
| author_facet | Fatemah Mofarreh Akram Ali Nadia Alluhaibi Olga Belova |
| author_sort | Fatemah Mofarreh |
| collection | DOAJ |
| description | In the present paper, we establish a Chen–Ricci inequality for a C-totally real warped product submanifold Mn of Sasakian space forms M2m+1ε. As Chen–Ricci inequality applications, we found the characterization of the base of the warped product Mn via the first eigenvalue of Laplace–Beltrami operator defined on the warping function and a second-order ordinary differential equation. We find the necessary conditions for a base B of a C-totally real-warped product submanifold to be an isometric to the Euclidean sphere Sp. |
| format | Article |
| id | doaj-art-ce71bb53794c4408a7d1d93b431f0eae |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-ce71bb53794c4408a7d1d93b431f0eae2025-02-03T06:05:45ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/12076461207646Ricci Curvature for Warped Product Submanifolds of Sasakian Space Forms and Its Applications to Differential EquationsFatemah Mofarreh0Akram Ali1Nadia Alluhaibi2Olga Belova3Mathematical Science Department, Faculty of Science, Princess Nourah Bint Abdulrahman University, Riyadh 11546, Saudi ArabiaDepartment of Mathematics, College of Science, King Khalid University, 9004 Abha, Saudi ArabiaDepartment of Mathematics, Science and Arts College, Rabigh Campus, King Abdulaziz University,, Jeddah 21589, Saudi ArabiaInstitute of Physical and Mathematical Sciences and IT, Immanuel Kant Baltic Federal University, 5A. Nevskogo st. 14, 236016 Kaliningrad, RussiaIn the present paper, we establish a Chen–Ricci inequality for a C-totally real warped product submanifold Mn of Sasakian space forms M2m+1ε. As Chen–Ricci inequality applications, we found the characterization of the base of the warped product Mn via the first eigenvalue of Laplace–Beltrami operator defined on the warping function and a second-order ordinary differential equation. We find the necessary conditions for a base B of a C-totally real-warped product submanifold to be an isometric to the Euclidean sphere Sp.http://dx.doi.org/10.1155/2021/1207646 |
| spellingShingle | Fatemah Mofarreh Akram Ali Nadia Alluhaibi Olga Belova Ricci Curvature for Warped Product Submanifolds of Sasakian Space Forms and Its Applications to Differential Equations Journal of Mathematics |
| title | Ricci Curvature for Warped Product Submanifolds of Sasakian Space Forms and Its Applications to Differential Equations |
| title_full | Ricci Curvature for Warped Product Submanifolds of Sasakian Space Forms and Its Applications to Differential Equations |
| title_fullStr | Ricci Curvature for Warped Product Submanifolds of Sasakian Space Forms and Its Applications to Differential Equations |
| title_full_unstemmed | Ricci Curvature for Warped Product Submanifolds of Sasakian Space Forms and Its Applications to Differential Equations |
| title_short | Ricci Curvature for Warped Product Submanifolds of Sasakian Space Forms and Its Applications to Differential Equations |
| title_sort | ricci curvature for warped product submanifolds of sasakian space forms and its applications to differential equations |
| url | http://dx.doi.org/10.1155/2021/1207646 |
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