proof ch:11-manifolds-tensors-curvature@proof-41

open in the book · parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:6586

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proof : ch:11-manifolds-tensors-curvature@proof-41prooftheorem 13.150: Levi-Civita connection and contorsion13.150definition 13.145: Affine connection13.145definition 13.117: Metric tensor of signature (p,q)13.117definition 13.149: Metric compatibility13.149definition 13.147: Torsion13.147definition 13.77: Curvature vector13.77lemma 44.8: Palatini identity44.8proposition 44.44: Harmonic-gauge reduction44.44proposition 21.73: Free motion in flat spacetime, any coordinates21.73proposition 13.140: Killing's equation13.140proposition 13.158: The connection determined by vielbein and torsion13.158proposition 13.154: Symmetries of the curvature13.154theorem 45.1: Schwarzschild solution45.1

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proves Levi-Civita connection and contorsion declared parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:6586