Again, necessary and sufficient conditions have been obtained for $\sigma-$symmetric generalized Sasakian space forms to be Einstein manifolds.
📌 3 Key Takeaways
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Objective & Hypothesis:In this article, semi-symmetric generalized Sasakian space forms are investigated on some special curvature tensors.
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Key Findings & Data:Characterizations of generalized Sasakian space forms are obtained on some specially selected $\sigma-$curvature tensors.
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Conclusion & Impact:Again, necessary and sufficient conditions have been obtained for $\sigma-$symmetric generalized Sasakian space forms to be Einstein manifolds.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:σ-Curvature Tensors · Semi-Symmetric Manifold · Sasakian Space Forms
Abstract
In this article, semi-symmetric generalized Sasakian space forms are investigated on some special curvature tensors. Characterizations of generalized Sasakian space forms are obtained on some specially selected $\sigma-$curvature tensors. By examining the flatness of these $\sigma -$curvature tensors, the properties of generalized sasakian space forms are given. More importantly, the cases of $\sigma-$semi-symmetric generalized Sasakian space forms are discussed and the behavior of the manifold is examined for each case. Again, necessary and sufficient conditions have been obtained for $\sigma-$symmetric generalized Sasakian space forms to be Einstein manifolds.
MERT, T., ATÇEKEN, M., UYGUN, P. (2022). Semi-Symmetric Generalized Sasakian Space Forms On Some Special Curvature Tensors. Konuralp Journal of Mathematics, Cilt: 10 - Sayı: 2, 240–249. https://ajindex.com/articles/786323
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