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