Abstract
The objective of the present research article is to study the delta-Lorentzian trans-Sasakian manifolds concidering the eta-Ricci solitons and gradient Ricci soliton. We have shown that a symmetric second order covariant tensor in a delta-Lorentzian transSasakian manifold is a constant multiple of metric tensor. Also, we have provided an example of eta-Ricci soliton on 3-diemsional delta-Lorentzian trans-Sasakian manifold in the region where delta-Lorentzian trans-Sasakian manifold is expanding. Furthermore, we have discussed the results based on gradient Ricci solitons on 3-dimensional delta- Lorentzian trans-Sasakian manifold.