Some results on Sasakian and $N(k)$-contact metric manifolds
DOI:
https://doi.org/10.5644/SJM.22.01.10Keywords:
$\ast $-Generalized quasi-conformal curvature tensor, Semi-symmetric structures, Einstein manifoldAbstract
The main objective of the present paper is to introduce a new curvature tensor, called the $\ast$-generalized quasi-conformal curvature tensor, in the setting of Sasakian and $N(k)$-contact metric manifolds. Subsequently, we investigate various semi-symmetric structures associated with this tensor and derive several interesting geometric characterizations and results.
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