Again, necessary and sufficient conditions have been obtained for $\sigma-$symmetric generalized Sasakian space forms to be Einstein manifolds.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this article, semi-symmetric generalized Sasakian space forms are investigated on some special curvature tensors.
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Temel Bulgular & Veri:Characterizations of generalized Sasakian space forms are obtained on some specially selected $\sigma-$curvature tensors.
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Sonuç & Katkı:Again, necessary and sufficient conditions have been obtained for $\sigma-$symmetric generalized Sasakian space forms to be Einstein manifolds.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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, Volume: 10 Issue: 2. https://ajindex.com/articles/1521540
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