Semi-Symmetric Generalized Sasakian Space Forms On Some Special Curvature Tensors

Year 2022, Volume: 10 Issue: 2, 240 - 249, 31.10.2022

Tuğba Mert , Mehmet Atçeken , Pakize Uygun

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.

Keywords

σ-Curvature Tensors, Semi-Symmetric Manifold, Sasakian Space Forms

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