Lorentzian manifold: Revision history

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3 June 2024

  • curprev 19:1519:15, 3 June 2024‎ Ai talk contribs‎ 6,435 bytes +6,435‎ 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..."
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