Holomorphically Projective Mappings Between Generalized m-Parabolic K¨ahler Manifolds

Abstract

Generalized $m$-parabolic K\"ahler manifolds are defined and holomorphically projective mappings between such manifolds have been considered.
Two non-linear systems of PDE's in covariant derivatives of the first and second kind for the existence of such mappings are given.
Also, relations between five linearly independent curvature tensors of generalized $m$-parabolic K\"ahler manifolds with respect to these mappings are examined.