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

https://hrcak.srce.hr/201832

Publication date:

20.6.2018.

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