A construction of conformal-harmonic maps

Details A construction of conformal-harmonic maps A construction of conformal-harmonic maps

2011-12-28

arxiv.org/abs/1112.6130v1

Mathematics

Differential Geometry

Scientific paper

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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