The study primarily concentrates on the differential geometric properties of these solitons, with particular attention given to scenarios where the associated vector field exhibits torse-forming behavior in accordance with the geometry induced by the semi-symmetric connection.
📌 3 Key Takeaways
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Objective & Hypothesis:This paper presents a broader formulation of Ricci solitons through the introduction of a generalized class of $\mathcal{Z}$-solitons on Riemannian manifolds that admit either semi-symmetric metric or semi-symmetric non-metric affine connections.
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Key Findings & Data:This paper presents a broader formulation of Ricci solitons through the introduction of a generalized class of $\mathcal{Z}$-solitons on Riemannian manifolds that admit either semi-symmetric metric or semi-symmetric non-metric affine connections.
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Conclusion & Impact:The study primarily concentrates on the differential geometric properties of these solitons, with particular attention given to scenarios where the associated vector field exhibits torse-forming behavior in accordance with the geometry induced by the semi-symmetric connection.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Semi-symmetric non-metric connection · torse-forming vector field · generalized $\mathcal{Z}$-solitons
Abstract
This paper presents a broader formulation of Ricci solitons through the introduction of a generalized class of $\mathcal{Z}$-solitons on Riemannian manifolds that admit either semi-symmetric metric or semi-symmetric non-metric affine connections. The study primarily concentrates on the differential geometric properties of these solitons, with particular attention given to scenarios where the associated vector field exhibits torse-forming behavior in accordance with the geometry induced by the semi-symmetric connection.
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