On 3D Generalized Trans-Sasakian Manifold

In a 3-dimensional generalized trans-Sasakian manifold, explicit formula for Ricci operator, Ricci tensor and curvature tensor are obtained. In particular, expressions for Ricci tensor are obtained in a 3-dimensional generalized trans-Sasakian manifold in cases of the manifold being quasi-Einstein or generalized quasi-Einstein.

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Publication Details

Journal
International Electronic Journal of Geometry
Published
2026-04-22
DOI
https://doi.org/10.36890/iejg.1687352
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
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article

On 3D Generalized Trans-Sasakian Manifold

Beldjilali Gherici
International Electronic Journal of Geometry
Geometric Analysis and Curvature Flows
article

On 3D Generalized Trans-Sasakian Manifold

Beldjilali Gherici
article en

Abstract

In a 3-dimensional generalized trans-Sasakian manifold, explicit formula for Ricci operator, Ricci tensor and curvature tensor are obtained. In particular, expressions for Ricci tensor are obtained in a 3-dimensional generalized trans-Sasakian manifold in cases of the manifold being quasi-Einstein or generalized quasi-Einstein.

International Electronic Journal of GeometryVol. 19(1)
Université Mustapha Stambouli de Mascara (DZ)
Openalex Percentile: Top 5%
Geometric Analysis and Curvature Flows
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On 3D Generalized Trans-Sasakian Manifold — Beldjilali Gherici · International Electronic Journal of Geometry (2026) | TGRS Research Map | TGRS