proof ch:11-manifolds-tensors-curvature@proof-42

open in the book · parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:6700

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proof : ch:11-manifolds-tensors-curvature@proof-42prooftheorem 13.152: Riemann tensor; Ricci identity with torsion13.152definition 13.145: Affine connection13.145definition 13.147: Torsion13.147proposition 7.105: Clairaut–Schwarz7.105definition 13.153: Contractions13.153example 21.74: Rindler coordinates21.74lemma A.640: Variation of the integrated three-curvatureA.640lemma 44.8: Palatini identity44.8proposition 44.44: Harmonic-gauge reduction44.44proposition 13.155: Geodesic deviation; Jacobi equation13.155proposition 13.140: Killing's equation13.140proposition 13.162: Curvature induced on the quadric13.162proposition 13.154: Symmetries of the curvature13.154remark 30.16: Incompatibility is curvature30.16theorem 13.156: Cartan structure equations13.156

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