A construction of conformal-harmonic maps

作者：Biquard Olivier^*; Madani Farid

来源：Comptes Rendus Mathematique, 2012, 350(21-22): 967-970.

DOI：10.1016/j.crma.2012.10.021

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.

• 出版日期2012-11