Quasi-Canonical Biholomorphically Projective Mappings of Generalized Riemannian Space in the Eisenhart Sense

Abstract

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

Keywords

• quasi-canonicalbiholomorphically projective mapping
• equitorsion quasi-canonical biholomorphically projective mapping
• curvature tensor
• invariant geometric object