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In Riemannian geometry, a branch of mathematics, harmonic coordinates are a certain kind of coordinate chart on a smooth manifold, determined by a Riemannian metric on the manifold. They are useful in many problems of geometric analysis due to their regularity properties.

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  • Harmonic coordinates (en)
  • Coordonnées harmoniques (fr)
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  • En relativité générale, et plus généralement en géométrie différentielle, un système de coordonnées harmoniques est un système de coordonnées défini sur une variété différentielle, et possédant la propriété suivante : Pour chaque coordonnée , on a , où D représente la dérivée covariante définie sur la variété. (fr)
  • In Riemannian geometry, a branch of mathematics, harmonic coordinates are a certain kind of coordinate chart on a smooth manifold, determined by a Riemannian metric on the manifold. They are useful in many problems of geometric analysis due to their regularity properties. (en)
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  • Remark A6.12 (en)
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