A construction of conformal-harmonic maps
Differential Geometry
2011-12-30 v1
Abstract
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.
Cite
@article{arxiv.1112.6130,
title = {A construction of conformal-harmonic maps},
author = {Olivier Biquard and Farid Madani},
journal= {arXiv preprint arXiv:1112.6130},
year = {2011}
}