ρ-Einstein Solitons on Warped Product Manifolds and Applications
The purpose of this research is to investigate how a ρ-Einstein soliton structure on a warped product manifold affects its base and fiber factor manifolds. Firstly, the pertinent properties of ρ-Einstein solitons are provided. Secondly, numerous necessary and sufficient conditions of a ρ-Einstein so...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/1028339 |
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| author | Nasser Bin Turki Sameh Shenawy H. K. EL-Sayied N. Syied C. A. Mantica |
| author_facet | Nasser Bin Turki Sameh Shenawy H. K. EL-Sayied N. Syied C. A. Mantica |
| author_sort | Nasser Bin Turki |
| collection | DOAJ |
| description | The purpose of this research is to investigate how a ρ-Einstein soliton structure on a warped product manifold affects its base and fiber factor manifolds. Firstly, the pertinent properties of ρ-Einstein solitons are provided. Secondly, numerous necessary and sufficient conditions of a ρ-Einstein soliton warped product manifold to make its factor ρ-Einstein soliton are examined. On a ρ-Einstein gradient soliton warped product manifold, necessary and sufficient conditions for making its factor ρ-Einstein gradient soliton are presented. ρ-Einstein solitons on warped product manifolds admitting a conformal vector field are also considered. Finally, the structure of ρ-Einstein solitons on some warped product space-times is investigated. |
| format | Article |
| id | doaj-art-07f96da28b4846aa99408201a89605c8 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-07f96da28b4846aa99408201a89605c82025-02-03T05:57:29ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/1028339ρ-Einstein Solitons on Warped Product Manifolds and ApplicationsNasser Bin Turki0Sameh Shenawy1H. K. EL-Sayied2N. Syied3C. A. Mantica4Department of MathematicsModern Academy For Engineering And TechnologyMathematics DepartmentModern Academy For Engineering And TechnologyI.I.S. LagrangeThe purpose of this research is to investigate how a ρ-Einstein soliton structure on a warped product manifold affects its base and fiber factor manifolds. Firstly, the pertinent properties of ρ-Einstein solitons are provided. Secondly, numerous necessary and sufficient conditions of a ρ-Einstein soliton warped product manifold to make its factor ρ-Einstein soliton are examined. On a ρ-Einstein gradient soliton warped product manifold, necessary and sufficient conditions for making its factor ρ-Einstein gradient soliton are presented. ρ-Einstein solitons on warped product manifolds admitting a conformal vector field are also considered. Finally, the structure of ρ-Einstein solitons on some warped product space-times is investigated.http://dx.doi.org/10.1155/2022/1028339 |
| spellingShingle | Nasser Bin Turki Sameh Shenawy H. K. EL-Sayied N. Syied C. A. Mantica ρ-Einstein Solitons on Warped Product Manifolds and Applications Journal of Mathematics |
| title | ρ-Einstein Solitons on Warped Product Manifolds and Applications |
| title_full | ρ-Einstein Solitons on Warped Product Manifolds and Applications |
| title_fullStr | ρ-Einstein Solitons on Warped Product Manifolds and Applications |
| title_full_unstemmed | ρ-Einstein Solitons on Warped Product Manifolds and Applications |
| title_short | ρ-Einstein Solitons on Warped Product Manifolds and Applications |
| title_sort | ρ einstein solitons on warped product manifolds and applications |
| url | http://dx.doi.org/10.1155/2022/1028339 |
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