## Farah H. Al-Hussaini, Aligadzhi R. Rustanov, Habeeb M. AboodVanishing conharmonic tensor of normal locally conformal almost cosymplectic manifold

Comment.Math.Univ.Carolin. 61,1 (2020) 93-104.

Abstract:The main purpose of the present paper is to study the geometric properties of the conharmonic curvature tensor of normal locally conformal almost cosymplectic manifolds (normal LCAC-manifold). In particular, three conhoronic invariants are distinguished with regard to the vanishing conharmonic tensor. Subsequentaly, three classes of normal LCAC-manifolds are established. Moreover, it is proved that the manifolds of these classes are $\eta$-Einstein manifolds of type $(\alpha,\beta)$. Furthermore, we have determined $\alpha$ and $\beta$ for each class.

Keywords: normal locally conformal almost cosymplectic manifold; conharmonic curvature tensor; constant curvature; $\eta$-Einstein manifold

DOI: DOI 10.14712/1213-7243.2020.008
AMS Subject Classification: 53C55 53B35

PDF