Biharmonic maps on V-manifolds

Yuan-Jen Chiang and Hongan Sun

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 27, 1-8

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.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:183013

DOI: 10.1155/S0161171201006731

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