  The paper is devoted to the investigation of four-dimensional Kahler
manifolds admitting non-affine H-projective mappings. We find all such
manifolds which are non-Einstein. In the paper also Kahler manifolds admitting
infinitesimal H-projective transformations are determined. It is proved that
the class of Kahler manifolds admitting H-projective mappings includes
generalized equidistant Kahler manifolds. The explicit expression for the
metrics of Ricci-flat four-dimensional generalized equidistant manifolds is
given.
