η-Ricci Solitons on 3-dimensional Trans-Sasakian Manifolds
Abstract In this paper, we study η-Ricci solitons on 3-dimensional trans-Sasakian manifolds. Firstly we give conditions for the existence of these geometric structures and then observe that they provide examples of η-Einstein manifolds. In the case of φ-Ricci symmetric tra...
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| Lenguaje: | English |
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Universidad de La Frontera. Departamento de Matemática y Estadística.
2020
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| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000100023 |
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oai:scielo:S0719-064620200001000232020-04-24η-Ricci Solitons on 3-dimensional Trans-Sasakian ManifoldsPahan,Sampa Trans-Sasakian manifold η-Ricci solitons. Abstract In this paper, we study η-Ricci solitons on 3-dimensional trans-Sasakian manifolds. Firstly we give conditions for the existence of these geometric structures and then observe that they provide examples of η-Einstein manifolds. In the case of φ-Ricci symmetric trans-Sasakian manifolds, the η-Ricci soliton condition turns them to Einstein manifolds. Afterward, we study the implications in this geometric context of the important tensorial conditions R · S = 0, S · R = 0, W2 · S = 0 and S · W2 = 0.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.22 n.1 20202020-04-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000100023en10.4067/S0719-06462020000100023 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Trans-Sasakian manifold η-Ricci solitons. |
| spellingShingle |
Trans-Sasakian manifold η-Ricci solitons. Pahan,Sampa η-Ricci Solitons on 3-dimensional Trans-Sasakian Manifolds |
| description |
Abstract In this paper, we study η-Ricci solitons on 3-dimensional trans-Sasakian manifolds. Firstly we give conditions for the existence of these geometric structures and then observe that they provide examples of η-Einstein manifolds. In the case of φ-Ricci symmetric trans-Sasakian manifolds, the η-Ricci soliton condition turns them to Einstein manifolds. Afterward, we study the implications in this geometric context of the important tensorial conditions R · S = 0, S · R = 0, W2 · S = 0 and S · W2 = 0. |
| author |
Pahan,Sampa |
| author_facet |
Pahan,Sampa |
| author_sort |
Pahan,Sampa |
| title |
η-Ricci Solitons on 3-dimensional Trans-Sasakian Manifolds |
| title_short |
η-Ricci Solitons on 3-dimensional Trans-Sasakian Manifolds |
| title_full |
η-Ricci Solitons on 3-dimensional Trans-Sasakian Manifolds |
| title_fullStr |
η-Ricci Solitons on 3-dimensional Trans-Sasakian Manifolds |
| title_full_unstemmed |
η-Ricci Solitons on 3-dimensional Trans-Sasakian Manifolds |
| title_sort |
η-ricci solitons on 3-dimensional trans-sasakian manifolds |
| publisher |
Universidad de La Frontera. Departamento de Matemática y Estadística. |
| publishDate |
2020 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000100023 |
| work_keys_str_mv |
AT pahansampa 951riccisolitonson3dimensionaltranssasakianmanifolds |
| _version_ |
1714206805200994304 |