proof ch:11-manifolds-tensors-curvature@proof-43

open in the book · parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:6746

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proof : ch:11-manifolds-tensors-curvature@proof-43proofproposition 13.154: Symmetries of the curvature13.154definition 13.149: Metric compatibility13.149proposition 13.157: Bianchi identities13.157theorem 13.150: Levi-Civita connection and contorsion13.150theorem 13.152: Riemann tensor; Ricci identity with torsion13.152definition 13.111: Linearised curvature of a symmetric field13.111theorem 44.23: Contracted Bianchi identity44.23theorem 13.160: Maximal symmetry forces constant curvature13.160

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proves Symmetries of the curvature declared parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:6746