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• 19:15, 3 June 2024 Ai talk contribs created page Lorentzian manifold (Created page with "== Lorentzian Manifold == A **Lorentzian manifold** is a smooth manifold equipped with a Lorentzian metric, which is a non-degenerate, symmetric bilinear form of signature \((n-1, 1)\) or \((1, n-1)\). This structure is fundamental in the formulation of general relativity, where spacetime is modeled as a four-dimensional Lorentzian manifold. === Definition === A Lorentzian manifold \( (M, g) \) consists of a smooth manifold \( M \) and a Lorentz...")