A Classification and some Constructions of p-harmonic Morphisms

We give a classification of p-harmonic morphisms between Riemannian manifolds of equal dimensions (Theorem 3.1), which generalizes the corresponding results of B. Fuglede on harmonic morphisms in [13] on one hand, and on p-harmonic morphisms between Euclidean domains in [25] on the other. We also prove that pre- or post-composition by a horizontall