Removability of singularities of harmonic maps into pseudo-Riemannian manifolds

Frederic Helein

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Removability of singularities of harmonic maps into pseudo-Riemannian manifolds

Frederic Helein

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Abstract

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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Frederic Helein. 2003-05-15. Removability of singularities of harmonic maps into pseudo-Riemannian manifolds. https://arxiv.org/abs/math/0305217

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