Glasnik matematički, Vol. 53 No. 1, 2018.
Original scientific paper
https://doi.org/10.3336/gm.53.1.14
η-Ricci solitons in (ε)-almost paracontact metric manifolds
Adara Monica Blaga
; Department of Mathematics, West University of Timişoara, 300223 Timişoara, România
Selcen Yüksel Perktaş
; Department of Mathematics, Adıyaman University, 02040 Adıyaman, Turkey
Bilal Eftal Acet
; Department of Mathematics, Adıyaman University, 02040 Adıyaman, Turkey
Feyza Esra Erdoğan
orcid.org/0000-0003-0568-7510
; Department of Elementary Education, Adıyaman University, 02040 Adıyaman, Turkey
Abstract
The object of this paper is to study η -Ricci solitons on ( ε ) -almost paracontact metric manifolds. We investigate η -Ricci solitons in the case when its potential vector field is exactly the characteristic vector field ξ of the ( ε ) -almost paracontact metric manifold and when the potential vector field is torse-forming. We also study Einstein-like and ( ε )-para Sasakian manifolds admitting η-Ricci solitons. Finally we obtain some results for η -Ricci solitons on ( ε )-almost paracontact metric manifolds with a special view towards parallel symmetric (0,2) -tensor fields.
Keywords
( ε ) -almost paracontact metric manifold; ( ε ) -para Sasakian manifold; Einstein-like manifold; η -Ricci soliton
Hrčak ID:
201832
URI
Publication date:
20.6.2018.
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