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MATHEMATICS
Quaisi invariant conharmonic tensor of special classes of locally conformal almost cosymplectic manifold
F. H. Al-Hussaini, Kh. M. Abood University of Basrah, Basrah, Iraq
Abstract:
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.
Keywords:
locally conformal almost cosymplectic manifold, conharmonic curvature tensor, $\Phi$-quaisi invariant, conharmonically $\Phi$-paracontact.
Received: 12.02.2020
Citation:
F. H. Al-Hussaini, Kh. M. Abood, “Quaisi invariant conharmonic tensor of special classes of locally conformal almost cosymplectic manifold”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 30:2 (2020), 147–157
Linking options:
https://www.mathnet.ru/eng/vuu716 https://www.mathnet.ru/eng/vuu/v30/i2/p147
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