Removability of singularities of harmonic maps into pseudo-Riemannian manifolds

Details Removability of singularities of harmonic maps into pseudo-Riemannian manifolds Removability of singularities of harmonic maps into pseudo-Riemannian manifolds

2003-05-15

arxiv.org/abs/math/0305217v1

Mathematics

Analysis of PDEs

submitted to "Annales de la faculte de Sciences de Toulouse, Mathematiques"

Scientific paper

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.

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