Yuan-Jen Chiang, Hongan Sun, "Biharmonic maps on V-manifolds", International Journal of Mathematics and Mathematical Sciences, vol. 27, Article ID 183013, 8 pages, 2001. https://doi.org/10.1155/S0161171201006731
Biharmonic maps on V-manifolds
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.
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