Geodesic
On the $\mathcal Q$ Curvature Tensor of a Generalized Sasakian-Space-Form
Kragujevac Journal of Mathematics, Tome 43 (2019) no. 3, p. 333

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The object of the present paper is to study $\xi$-$\mathcal{Q}$ flat, $\phi$-$\mathcal{Q}$ flat generalized Sasakian-space-forms. Besides these, we consider generalized Sasakian-space-forms satisfying $P(\xi,X)\cdot \mathcal{Q}=0$, $\mathcal{Q}(\xi,X)\cdot P=0$ and $\mathcal{Q}(\xi,X)\cdot \mathcal{Q}=0$. As a consequence we obtain several important results. Finally, illustrative examples are given.
Classification : 53C15 53C25
Keywords: Generalized Sasakian-space-form, $\xi$-$\mathcal Q$ flat, $\phi$-$\mathcal Q$, Einstein, $\eta$-Einstein 
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     author = {U. C. De and P. Majhi},
     title = {On the $\mathcal Q$ {Curvature} {Tensor} of a {Generalized} {Sasakian-Space-Form}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {333 },
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U. C. De; P. Majhi. On the $\mathcal Q$ Curvature Tensor of a Generalized Sasakian-Space-Form. Kragujevac Journal of Mathematics, Tome 43 (2019) no. 3, p. 333 . http://geodesic.mathdoc.fr/item/KJM_2019_43_3_a0/