 Einstein manifold (source code)

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= Einstein manifold
{wiki=Einstein_manifold}

An Einstein manifold is a Riemannian manifold \\((M, g)\\) where the Ricci curvature is proportional to the metric tensor \\(g\\). Mathematically, this relationship can be expressed as: \\\[ \\text\{Ric\}(g) = \\lambda g \\\] where \\(\\text\{Ric\}(g)\\) is the Ricci curvature tensor and \\(\\lambda\\) is a constant, often referred to as the "Einstein constant.

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