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JOURNALS // Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki // Archive

Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2020 Volume 30, Issue 2, Pages 147–157 (Mi vuu716)

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 cosympleñtic 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.

UDC: 514.7

MSC: 53C55, 53B35

Received: 12.02.2020

Language: English

DOI: 10.35634/vm200201



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© Steklov Math. Inst. of RAS, 2024