321 citations
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math.DG2008★ 2 cited
On conformal biharmonic immersions
Ye-Lin Ou
This paper studies conformal biharmonic immersions. We first study the transformations of Jacobi operator and the bitension field under conformal change of metrics. We then obtain…
math.DG2008★ 2 cited
Biharmonic maps and morphisms from conformal mappings
E. Loubeau, Y. -L. Ou
Inspired by the all-important conformal invariance of harmonic maps on two-dimensional domains, this article studies the relationship between biharmonicity and conformality. We fir…