Quaisi invariant conharmonic tensor of special classes of locally conformal almost cosymplectic manifold

Abstract

The authors classified a locally conformal almost cosympleсtic manifold (LCAC S-manifold) according to the conharmonic curvature tensor. In particular, they have determined the necessary conditions for a conharmonic curvature tensor on the LCAC S-manifold of classes CT i , i = 1, 2, 3 to be Φ-quaisi invariant. Moreover, it has been proved that any LCAC S-manifold of the class CT 1 is conharmoniclly Φ-paracontact.