Removability of singularities of harmonic maps into pseudo-Riemannian manifolds
Abstract
Description
We consider harmonic maps into pseudo-Riemannian manifolds. We show the removability of isolated singularities for continuous maps, i.e. that any continuous map from an open subset of R^m into a pseudo-Riemannian manifold which is two times continuously differentiable and harmonic everywhere outside an isolated point is actually smooth harmonic everywhere.
submitted to "Annales de la faculte de Sciences de Toulouse, Mathematiques"
submitted to "Annales de la faculte de Sciences de Toulouse, Mathematiques"