Beta-almost Ricci solitons on Sasakian 3-manifolds
Abstract In this paper we characterize the Sasakian 3-manifolds admitting β-almost Ricci solitons whose potential vector field is a contact vector field. Among others we prove that a β-almost Ricci soliton whose potential vector field is a contact vector field on a Sasakian 3-manif...
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| Auteurs principaux: | , |
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| Langue: | English |
| Publié: |
Universidad de La Frontera. Departamento de Matemática y Estadística.
2019
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| Accès en ligne: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000300063 |
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| Résumé: | Abstract In this paper we characterize the Sasakian 3-manifolds admitting β-almost Ricci solitons whose potential vector field is a contact vector field. Among others we prove that a β-almost Ricci soliton whose potential vector field is a contact vector field on a Sasakian 3-manifold is shrinking, Einstein and non-trivial. Moreover, we prove that this type of manifolds are isometric to a sphere of radius √7. |
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