Invariant theory | Theorems in differential geometry

Vermeil's theorem

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. (Wikipedia).

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Related pages

Metric tensor | Differential invariant | Differential geometry | Lovelock's theorem | Einstein–Hilbert action | Hermann Vermeil | Albert Einstein | Scalar curvature