$\delta$-Almost Ricci soliton on 3-dimensional trans-Sasakian manifold

Abstract

In this paper, we consider $\delta$-almost Ricci soliton on 3-dimensional trans-Sasakian manifold admitting $\eta$-parallel Ricci tensor. We give some conditions for $P\cdot \phi =0$, $P\cdot S=0$, $Q\cdot P=0$. Also, we show that there is almost pseudo symmetric $\delta$-almost Ricci soliton on 3-dimensional trans-Sasakian manifold admitting cyclic Ricci tensor. Finally, we give an example for verifying the obtained results.