Conformal holomorphically projective mappings of almost Hermitian manifolds with a certain initial condition

Abstract

In this paper, we study holomorphically projective and conformal holomorphically projective mappings between almost Hermitian manifolds H n = (M, g, F) and H̄n = (M̄, ḡ, F̄), i.e. diffeomorphism f : M → M̄ 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 f*ḡ = k ·g. © World Scientific Publishing Company.