International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 8, Pages 477-484
doi:10.1155/S0161171201006731
Biharmonic maps on V-manifolds
Yuan-Jen Chiang1
and Hongan Sun2
1Department of Mathematics, Mary Washington College, Fredericksburg 22401, VA, USA
2Southern Institute of Metallurgy, Jiangxi, Ganzou, China
Abstract
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 f implies the harmonic property of f. We finally discuss the composition of biharmonic maps on V-manifolds.