Some Class of Sasakian Manifolds with Respect to the Quarter-Symmetric Metric Connection
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Keywords:
Sasakian manifold, $\mathcal{M}$-projective curvature tensor, quarter-symmetric metric connection, quasi-$\mathcal{M}$-projectively flat, $\phi$-$\mathcal{M}$-projectively flatAbstract
We consider $\mathcal{M}$-Projective curvature tensor on a Sasakian manifolds with respect to the quarter-symmetric metric connection. Here, we obtain the condition for the Sasakian manifold to be quasi-$\mathcal{M}$-Projectively flat and $\phi$-$\mathcal{M}$-projectively flat with respect to the quarter-symmetric metric connection.
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