ON VIASMAN-GRAY MANIFOLD WITH GENERALIZED CONHARMONIC CURVATURE TENSOR

Abstract

The current study deals with the generalized conhormonic curvature tensor of Vaisman - Gray manifold. The aim of this paper to calculate the components of generalized Ricci tensor and generalized Riemannian tensor of VG-manifold in the adjoint G-structure space to find Generalized conharmonic Curvature tensor of VG-manifold, one of the almost hermitian manifold structures is donated by W_1⊕W_4, where W_1 and W_4 respectively denoted to the nearly kahler manifold and locally conformal kahler manifold have been studied .