Abstract
In this paper, we study holomorphically projective and conformal holomorphically projective mappings between almost Hermitian manifolds Hn = (M, g, F) and [Formula: see text], i.e. diffeomorphism [Formula: see text] satisfying f = f1 ◦ f2 ◦ f3, where f1, f3 are conformal mappings and f2 is a holomorphically projective mapping between almost Hermitian manifolds. We obtain fundamental equations of Cauchy type for holomorphically projective mappings between almost Hermitian manifolds and for above-mentioned mappings a new result for the initial condition [Formula: see text].
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