A Liouville type theorem for p-harmonic morphisms

摘要

Let M be a complete noncompact Riemannian manifold with nonnegative Ricci curvature and N be a Riemannian manifold with nonpositive scalar curvature. Then we show that each p-harmonic morphism /spl phi/ from M to N with /spl int//sub M/|d/spl phi/|/sup 2p-2/d/spl upsi//sub g/ > /spl infin/ is a constant map.