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.Mathematics Subject Classification: 53C15, 53C25, 53C40, 53C42, 53C50.
Bu makaleye şu şekilde atıfta bulunabilirsiniz(To cite to this article): Erdoğan F. E. ve Yıldırım C.,"Altın Riemann manifoldlarının tamamen umbilik yarı-invaryant altmanifoldları üzerine bir çalışma", Politeknik Dergisi, 21(4): 967-970, (2018). Politeknik Dergisi, 2018; 21(4) : 967-970 Journal of Polytechnic, 2018; 21 (4)
The main purpose of the present paper is to study the geometry of transversal lightlike submanifolds and radical transversal lightlike submanifolds of metallic semi-Riemannian manifolds. We investigate the geometry of distributions and obtain necessary and sufficient conditions for the induced connection on these manifolds to be a metric connection. We also obtain characterization of transversal lightlike submanifolds of metallic semi-Riemannian manifolds.Finally, we give two examples.
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