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has gloss | eng: In differential geometry and mathematical physics, an Einstein manifold is a Riemannian or pseudo-Riemannian manifold whose Ricci tensor is proportional to the metric. They are named after Albert Einstein because this condition is equivalent to saying that the metric is a solution of the vacuum Einstein equations (with cosmological constant), although the dimension, as well as the signature, of the metric can be arbitrary, unlike the four dimensional Lorentzian manifolds usually studied in general relativity. |
lexicalization | eng: Einstein manifold |
lexicalization | eng: Einstein space |
lexicalization | eng: Kaehler-Einstein manifold |
instance of | (noun) a set of points such as those of a closed surface or an analogue in three or more dimensions manifold |
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has gloss | deu: Die Einsteinmannigfaltigkeit ist ein Begriff aus dem mathematischen Teilgebiet der Differentialgeometrie sowie aus der allgemeinen Relativitätstheorie. Es handelt sich um einen Spezialfall einer (pseudo-)riemannschen Mannigfaltigkeit und wurde nach dem Physiker Albert Einstein benannt. |
lexicalization | deu: Einsteinsche Mannigfaltigkeit |
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