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Biharmonic properties and conformal changes

A. Balmus
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Abstract

We construct a new class of biharmonic maps, which are the critical points for the bienergy functional, by deforming conformally the codomain metric of harmonic Riemannian submersions such that they become nonharmonic but biharmonic.

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A. Balmus. 2004-08-03. Biharmonic properties and conformal changes. https://arxiv.org/abs/math/0408033

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