Farah H. Al-Hussaini, Aligadzhi R. Rustanov, Habeeb M. Abood
Abstract
The main purpose of the present paper is to study the geometric
properties of the conharmonic curvature tensor of normal locally conformal al-
most cosymplectic manifolds (normal LCAC-manifold). In particular, three con-
horonic 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 -Einstein manifolds
of type (, ). Furthermore, we have determined and for each class.
Publication Date
5/2/2020
Publisher
Comment.Math.Univ.Carolin.
Volume No
2020
Issue No
1
DOI
DOI 10.14712/1213-7243.2020.008
Pages
93-104
Keywords
normal locally conformal almost cosymplectic manifold; conharmonic curvature tensor; constant curvature; -Einstein manifold