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Biharmonic maps on V-manifolds

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  • Yuan-Jen Chiang
  • Hongan Sun

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.

Suggested Citation

  • Yuan-Jen Chiang & Hongan Sun, 2001. "Biharmonic maps on V-manifolds," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 27, pages 1-8, January.
    • Handle: RePEc:hin:jijmms:183013
    DOI: 10.1155/S0161171201006731
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