η-Ricci Solitons on Sasakian 3-Manifolds
In this paper we study η-Ricci solitons on Sasakian 3-manifolds. Among others we prove that an η-Ricci soliton on a Sasakian 3-manifold is an η-Einstien manifold. Moreover we consider η-Ricci solitons on Sasakian 3-manifolds with Ricci tensor of Codazzi type and cyclic parallel Ricci tensor. Beside...
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| Format: | Article |
| Language: | English |
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Sciendo
2017-12-01
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| Series: | Annals of the West University of Timisoara: Mathematics and Computer Science |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/awutm-2017-0019 |
| _version_ | 1818191911359348736 |
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| author | Majhi Pradip De Uday Chand Kar Debabrata |
| author_facet | Majhi Pradip De Uday Chand Kar Debabrata |
| author_sort | Majhi Pradip |
| collection | DOAJ |
| description | In this paper we study η-Ricci solitons on Sasakian 3-manifolds. Among others we prove that an η-Ricci soliton on a Sasakian 3-manifold is an η-Einstien manifold. Moreover we consider η-Ricci solitons on Sasakian 3-manifolds with Ricci tensor of Codazzi type and cyclic parallel Ricci tensor. Beside these we study conformally flat and φ-Ricci symmetric η-Ricci soliton on Sasakian 3-manifolds. Also η-Ricci soliton on Sasakian 3-manifolds with the curvature condition Q.R = 0 have been considered. Finally, we construct an example to prove the non-existence of proper η-Ricci solitons on Sasakian 3-manifolds and verify some results. |
| first_indexed | 2024-12-12T00:22:08Z |
| format | Article |
| id | doaj.art-c2a52861395b457b80c8cced898a039c |
| institution | Directory Open Access Journal |
| issn | 1841-3307 |
| language | English |
| last_indexed | 2024-12-12T00:22:08Z |
| publishDate | 2017-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annals of the West University of Timisoara: Mathematics and Computer Science |
| spelling | doaj.art-c2a52861395b457b80c8cced898a039c2022-12-22T00:44:42ZengSciendoAnnals of the West University of Timisoara: Mathematics and Computer Science1841-33072017-12-0155214315610.1515/awutm-2017-0019awutm-2017-0019η-Ricci Solitons on Sasakian 3-ManifoldsMajhi Pradip0De Uday Chand1Kar Debabrata2Department of Pure Mathematics, University of Calcutta, 35, Ballygaunge Circular Road, Kolkata700019, IndiaDepartment of Pure Mathematics, University of Calcutta, 35, Ballygaunge Circular Road, Kolkata700019, IndiaDepartment of Pure Mathematics, University of Calcutta, 35, Ballygaunge Circular Road, Kolkata700019, IndiaIn this paper we study η-Ricci solitons on Sasakian 3-manifolds. Among others we prove that an η-Ricci soliton on a Sasakian 3-manifold is an η-Einstien manifold. Moreover we consider η-Ricci solitons on Sasakian 3-manifolds with Ricci tensor of Codazzi type and cyclic parallel Ricci tensor. Beside these we study conformally flat and φ-Ricci symmetric η-Ricci soliton on Sasakian 3-manifolds. Also η-Ricci soliton on Sasakian 3-manifolds with the curvature condition Q.R = 0 have been considered. Finally, we construct an example to prove the non-existence of proper η-Ricci solitons on Sasakian 3-manifolds and verify some results.https://doi.org/10.1515/awutm-2017-0019ricci solitonη-ricci solitonsasakian 3-manifoldsricci tensor of coddazi typecyclic parallel ricci tensor53c1553c25 |
| spellingShingle | Majhi Pradip De Uday Chand Kar Debabrata η-Ricci Solitons on Sasakian 3-Manifolds Annals of the West University of Timisoara: Mathematics and Computer Science ricci soliton η-ricci soliton sasakian 3-manifolds ricci tensor of coddazi type cyclic parallel ricci tensor 53c15 53c25 |
| title | η-Ricci Solitons on Sasakian 3-Manifolds |
| title_full | η-Ricci Solitons on Sasakian 3-Manifolds |
| title_fullStr | η-Ricci Solitons on Sasakian 3-Manifolds |
| title_full_unstemmed | η-Ricci Solitons on Sasakian 3-Manifolds |
| title_short | η-Ricci Solitons on Sasakian 3-Manifolds |
| title_sort | η ricci solitons on sasakian 3 manifolds |
| topic | ricci soliton η-ricci soliton sasakian 3-manifolds ricci tensor of coddazi type cyclic parallel ricci tensor 53c15 53c25 |
| url | https://doi.org/10.1515/awutm-2017-0019 |
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