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arxiv: math/0305217 · v1 · submitted 2003-05-15 · 🧮 math.AP · math.DG

Removability of singularities of harmonic maps into pseudo-Riemannian manifolds

classification 🧮 math.AP math.DG
keywords harmonicmapspseudo-riemanniancontinuouseverywhereisolatedmanifoldsremovability
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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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