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

T. Acet

doi:10.15330/cmp.16.2.558-564

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

Authors

T. Acet İnönü University, Malatya, Türkiye https://orcid.org/0000-0002-5096-3388

https://doi.org/10.15330/cmp.16.2.558-564

Keywords:

Ricci soliton,

$\delta$ -almost Ricci soliton, trans-Sasakian manifold

Published online: 2024-12-22

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.