International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 8, Pages 477-484
We generalize biharmonic maps between Riemannian manifolds into the case of the domain being V-manifolds. We obtain the first and second variations of biharmonic maps on V-manifolds. Since a biharmonic map from a compact V-manifold into a Riemannian manifold of nonpositive curvature is harmonic, we construct a biharmonic non-harmonic map into a sphere. We also show that under certain condition the biharmonic property of implies the harmonic property of . We finally discuss the composition of biharmonic maps on V-manifolds.