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In differential geometry, Vermeil's theorem essentially states that the scalar curvature is the only (non-trivial) absolute invariant among those of prescribed type suitable for Albert Einstein’s theory of General Relativity. The theorem was proved by the German mathematician Hermann Vermeil in 1917.

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  • En geometría diferencial, el teorema de Vermeil establece que la curvatura escalar es esencialmente el único invariante absoluto (no trivial), entre los del tipo prescrito, adecuados para la teoría general de la relatividad de Albert Einstein. El teorema fue demostrado por el matemático alemán en 1917. (es)
  • In relatività generale e nel calcolo tensoriale, il teorema di Vermeil afferma che la curvatura scalare è l'unico invariante assoluto (non banale), tra quelli prescritti, adatto alla teoria di Einstein. Il teorema fu dimostrato dal matematico tedesco Hermann Vermeil nel 1917. (it)
  • In differential geometry, Vermeil's theorem essentially states that the scalar curvature is the only (non-trivial) absolute invariant among those of prescribed type suitable for Albert Einstein’s theory of General Relativity. The theorem was proved by the German mathematician Hermann Vermeil in 1917. (en)
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  • En geometría diferencial, el teorema de Vermeil establece que la curvatura escalar es esencialmente el único invariante absoluto (no trivial), entre los del tipo prescrito, adecuados para la teoría general de la relatividad de Albert Einstein. El teorema fue demostrado por el matemático alemán en 1917. (es)
  • In relatività generale e nel calcolo tensoriale, il teorema di Vermeil afferma che la curvatura scalare è l'unico invariante assoluto (non banale), tra quelli prescritti, adatto alla teoria di Einstein. Il teorema fu dimostrato dal matematico tedesco Hermann Vermeil nel 1917. (it)
  • In differential geometry, Vermeil's theorem essentially states that the scalar curvature is the only (non-trivial) absolute invariant among those of prescribed type suitable for Albert Einstein’s theory of General Relativity. The theorem was proved by the German mathematician Hermann Vermeil in 1917. (en)
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  • Teorema de Vermeil (es)
  • Teorema di Vermeil (it)
  • Vermeil's theorem (en)
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