A duality principle between Grassmann geometries on compact symmetric spaces and those on noncompact symmetric spaces is proved, which greatly facilitates the study of Grassmann geometry on symmetric spaces. Those Gra...
LET[μ] be a point in a Teichmuller space T(Γ) and [μ]≠[0]. When T(Γ) is finite-di-mensional, the extremal Beltrami differential in [μ]is unique and the geodesic segment α:[tμ0] (0≤t≤1) is th...
morphism. Harmonic morphisms may be characterized as harmonic mappings which are horizontally weakly conformal. In recent years a substantial progress has been made in the field of harmonic morphism, for example, refs...