Ricci-Bourguignon soliton on three dimensional para-Sasakian manifold
In the present paper we study Ricci-Bourguignon solitons on three dimensional para-Sasakian manifolds with potential vector field as a special vector field. We proved the conditions for such manifold to be isometric to hyperbolic space. Further, the nature of RB-soliton based on the value of real nu...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2024-12-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_3535_74e22d3490bd9b9cfd0d5c713282b3f6.pdf |
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| _version_ | 1839635409676533760 |
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| author | Yashaswini R Nagaraja H.G. |
| author_facet | Yashaswini R Nagaraja H.G. |
| author_sort | Yashaswini R |
| collection | DOAJ |
| description | In the present paper we study Ricci-Bourguignon solitons on three dimensional para-Sasakian manifolds with potential vector field as a special vector field. We proved the conditions for such manifold to be isometric to hyperbolic space. Further, the nature of RB-soliton based on the value of real numbers $\rho$ is investigated. |
| format | Article |
| id | doaj-art-a1c5ef5fad3e4914b2bcae5f5e7c10f1 |
| institution | Matheson Library |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-a1c5ef5fad3e4914b2bcae5f5e7c10f12025-07-09T08:13:14ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662024-12-0113225727010.22098/jhs.2024.15173.10163535Ricci-Bourguignon soliton on three dimensional para-Sasakian manifoldYashaswini R0Nagaraja H.G.1Department of mathematics, Jnana bharathi campus Banglore Banglore, IndiaDepartment of Mathematics, Bangalore university, Bengalure, IndiaIn the present paper we study Ricci-Bourguignon solitons on three dimensional para-Sasakian manifolds with potential vector field as a special vector field. We proved the conditions for such manifold to be isometric to hyperbolic space. Further, the nature of RB-soliton based on the value of real numbers $\rho$ is investigated.https://jhs.uma.ac.ir/article_3535_74e22d3490bd9b9cfd0d5c713282b3f6.pdfrb-solitonpara-sasakian manifoldaffine conformal vector fieldtorse forming vector field |
| spellingShingle | Yashaswini R Nagaraja H.G. Ricci-Bourguignon soliton on three dimensional para-Sasakian manifold Journal of Hyperstructures rb-soliton para-sasakian manifold affine conformal vector field torse forming vector field |
| title | Ricci-Bourguignon soliton on three dimensional para-Sasakian manifold |
| title_full | Ricci-Bourguignon soliton on three dimensional para-Sasakian manifold |
| title_fullStr | Ricci-Bourguignon soliton on three dimensional para-Sasakian manifold |
| title_full_unstemmed | Ricci-Bourguignon soliton on three dimensional para-Sasakian manifold |
| title_short | Ricci-Bourguignon soliton on three dimensional para-Sasakian manifold |
| title_sort | ricci bourguignon soliton on three dimensional para sasakian manifold |
| topic | rb-soliton para-sasakian manifold affine conformal vector field torse forming vector field |
| url | https://jhs.uma.ac.ir/article_3535_74e22d3490bd9b9cfd0d5c713282b3f6.pdf |
| work_keys_str_mv | AT yashaswinir riccibourguignonsolitononthreedimensionalparasasakianmanifold AT nagarajahg riccibourguignonsolitononthreedimensionalparasasakianmanifold |