On Equitorsion Concircular Tensors of Generalized Riemannian Spaces

Abstract. In this paper we consider concircular vector fields of manifolds with non-symmetric metric tensor. The subject of our paper is an equitorsion concircular mapping. A mapping f: GRN → GRN is an equitorsion if the torsion tensors of the spaces GRN and GRN are equal. For an equitorsion concircular mapping of two generalized Riemannian spaces GRN and GRN, we obtain some invariant curvature tensors of this mapping Z θ, θ = 1, 2,..., 5, given by equations (3.14, 3.21, 3.28, 3.31, 3.38). These quantities are generalizations of the concircular tensor Z given by equation (2.5). 1