Biholomorphically projective mappings of generalized Riemannian space in the Eisenhart sense

Abstract

In this paper, biholomorphically projective and equitorsion biholomorphically projective mappings are defined. Some relations between corresponding curvature tensors of the generalized Riemannian spaces GRN and GRN are obtained. At the end, invariant geometric object of equitorsion biholomorphically projective mapping are found.