In this paper, we investigate α -harmonic morphisms, obtaining their characterizations and studying their properties. Moreover, the fibers of the α -harmonic morphisms are shown to be minimal submanifolds if the morphisms satisfy certain conditions. Furthermore, the precise mean curvature of a horizontal distribution associated to α -harmonic morphism is determined through the analysis of the geometric nature of the underlying structure. The study is also extended to the exploration of polynomial α -harmonic morphism and ends with potential applications of α -harmonic maps.
