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A construction of conformal-harmonic maps

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Biquard, Olivier ; Madani, Farid
Date of publication of this fulltext: 07 Feb 2012 09:50


Conformal harmonic maps from a 4-dimensional conformal
manifold to a Riemannian manifold are maps satisfying a
certain conformally invariant fourth order equation. We prove a general existence result for conformal harmonic maps, analogous to the Eells-Sampson theorem for harmonic maps. The proof uses a geometric flow and relies on results of Gursky-Viaclovsky and Lamm.

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