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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Autores principales:	Majhi,Pradip, Kar,Debabrata
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2019
Materias:	Ricci soliton β-almost Ricci soliton Sasakian 3-manifolds Einstein
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000300063
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id	oai:scielo:S0719-06462019000300063
record_format	dspace
spelling	oai:scielo:S0719-064620190003000632020-02-20Beta-almost Ricci solitons on Sasakian 3-manifoldsMajhi,PradipKar,Debabrata Ricci soliton β-almost Ricci soliton Sasakian 3-manifolds Einstein 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.21 n.3 20192019-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000300063en10.4067/S0719-06462019000300063
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Ricci soliton β-almost Ricci soliton Sasakian 3-manifolds Einstein
spellingShingle	Ricci soliton β-almost Ricci soliton Sasakian 3-manifolds Einstein Majhi,Pradip Kar,Debabrata Beta-almost Ricci solitons on Sasakian 3-manifolds
description	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.
author	Majhi,Pradip Kar,Debabrata
author_facet	Majhi,Pradip Kar,Debabrata
author_sort	Majhi,Pradip
title	Beta-almost Ricci solitons on Sasakian 3-manifolds
title_short	Beta-almost Ricci solitons on Sasakian 3-manifolds
title_full	Beta-almost Ricci solitons on Sasakian 3-manifolds
title_fullStr	Beta-almost Ricci solitons on Sasakian 3-manifolds
title_full_unstemmed	Beta-almost Ricci solitons on Sasakian 3-manifolds
title_sort	beta-almost ricci solitons on sasakian 3-manifolds
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2019
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000300063
work_keys_str_mv	AT majhipradip betaalmostriccisolitonsonsasakian3manifolds AT kardebabrata betaalmostriccisolitonsonsasakian3manifolds
_version_	1714206804438679552

Beta-almost Ricci solitons on Sasakian 3-manifolds

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