On the $\mathcal Q$ Curvature Tensor of a Generalized Sasakian-Space-Form
Kragujevac Journal of Mathematics, Tome 43 (2019) no. 3, p. 333
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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
Keywords: Generalized Sasakian-space-form, $\xi$-$\mathcal Q$ flat, $\phi$-$\mathcal Q$, Einstein, $\eta$-Einstein
@article{KJM_2019_43_3_a0,
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 },
year = {2019},
volume = {43},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2019_43_3_a0/}
}
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/