Equitorsion holomorphically projective mappings of generalized $m$-parabolic K\"ahler manifolds

Abstract

We investigate equitorsion holomorphically projective mappings of generalized $m$-parabolic K\"ahler manifolds and provide some necessary and sufficient conditions for the existence of these mappings in form of linear PDE-systems.
Also, we find an invariant geometric object with respect to a holomorphically projective mapping of generalized $m$-parabolic K\"ahler manifolds which is analogous to the Thomas projective parameter.