equation 13.295 eq:mfd-covariant-derivative

open in the book · parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:6485

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depends_on lemma A.626 Decomposition of $\nabla n$, and the acceleration ¶
- depends_on lemma A.630 Codazzi equation ¶
  - depends_on theorem 44.42 The constraint equations ¶
    - depends_on theorem 44.45 Local existence and uniqueness; Choquet-Bruhat; imported ¶
      - depends_on theorem 44.46 Maximal globally hyperbolic development; Choquet-Bruhat and Geroch; imported ¶
    - depends_on theorem 44.46 Maximal globally hyperbolic development; Choquet-Bruhat and Geroch; imported ¶ ↺
- depends_on lemma A.631 The normal–normal Ricci contraction ¶
  - depends_on theorem A.632 The $3+1$ identity for the curvature scalar ¶

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type	direction	node	provenance	where
`depends_on`	←	Decomposition of $\nabla n$, and the acceleration	declared	appendices/A-long-proofs.tex:30241