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Derives Ricci operator and tensor expressions in 3D generalized trans-Sasakian manifolds, indicating geometric implications.
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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Beldjilali Gherici (2026) studied this question.
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