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

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.

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Publication Details

Journal
Carpathian Mathematical Publications
Published
2024-12-22
DOI
https://doi.org/10.15330/cmp.16.2.558-564
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
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article

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

Tuba Acet
Carpathian Mathematical Publications
Geometric Analysis and Curvature Flows
article

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

Tuba Acet
article en

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.

Carpathian Mathematical PublicationsVol. 16(2)
Inonu University (TR)
Openalex Percentile: Top 61%
Geometric Analysis and Curvature Flows
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$\delta$-Almost Ricci soliton on 3-dimensional trans-Sasakian manifold — Tuba Acet · Carpathian Mathematical Publications (2024) | TGRS Research Map | TGRS