Quaisi invariant conharmonic tensor of special classes of locally conformal almost cosymplectic manifold

F. H. Al-Hussaini   ; Kh. M. Abood

Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 30 (2020) no. 2, pp. 147-157

Résumé

The authors classified a locally conformal almost cosympleсtic manifold ($\mathcal{LCAC_{S}}$-manifold) according to the conharmonic curvature tensor. In particular, they have determined the necessary conditions for a conharmonic curvature tensor on the $\mathcal{LCAC_{S}}$-manifold of classes $ CT_{i}$, $i=1,2,3 $ to be $ \Phi $-quaisi invariant. Moreover, it has been proved that any $\mathcal{LCAC_{S}}$-manifold of the class $ CT_{1} $ is conharmoniclly $ \Phi $-paracontact.

Détail

Keywords: locally conformal almost cosymplectic manifold, conharmonic curvature tensor, conharmonically $\Phi$-paracontact.
Mots-clés : $\Phi$-quaisi invariant

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