摘要
When M is compact, a 2-harmonic map f:M→N between Riemannian mani-folds is a critical map of 2-energy functional E2(f)=∫M‖(f)‖2*1. Its tension field(?)(f) is exactly the Jacobi field. When the target manifold N is a unit sphere Sm+P(m=dimM, p=codlin M), using the method of moving frames, we have studied the 2-harmonic isometric immersion f:M→Sm+p, and obtained the following results, in which ‖B(f)‖2 denotes the square norm of the second