Document Type

Article

Digital Object Identifier (DOI)

10.1155/S0161171201006731

Journal Title

International Journal of Mathematics and Mathematical Sciences

Publication Date

2001

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.

Comments

The definitive article is openly available on the website of the International Journal of Mathematics and Mathematical Sciences at: https://doi.org/10.1155/S016117120100673.

Publisher Statement

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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