\( \eta \)-Ricci Solitons on 3-dimensional Trans-Sasakian Manifolds

dc.creator	Pahan, Sampa
dc.date	2020-04-17
dc.identifier	http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2254
dc.identifier	10.4067/S0719-06462020000100023
dc.description	In this paper, we study \( \eta \)-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 \( \eta \)-Einstein manifolds. In the case of \( \phi \)-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 \( R \cdot S = 0\), \(S \cdot R = 0\), \(W_2\cdot S = 0\) and \(S \cdot W_2 = 0\).	en-US
dc.format	application/pdf
dc.language	eng
dc.publisher	Universidad de La Frontera. Temuco, Chile.	en-US
dc.relation	http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2254/1937
dc.rights	https://creativecommons.org/licenses/by-nc/4.0	en-US
dc.source	CUBO, A Mathematical Journal; Vol. 22 No. 1 (2020); 23–37	en-US
dc.source	CUBO, A Mathematical Journal; Vol. 22 Núm. 1 (2020); 23–37	es-ES
dc.source	0719-0646
dc.source	0716-7776
dc.subject	Trans-Sasakian manifold	en-US
dc.subject	η-Ricci solitons	en-US
dc.title	\( \eta \)-Ricci Solitons on 3-dimensional Trans-Sasakian Manifolds	en-US
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion