proposition 13.121 The isometry group

open in the book · parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:5548 · p. 520

Rests on

depends_on definition 13.120 Isometry ¶
- depends_on definition 13.117 Metric tensor of signature $(p,q)$ ¶
  - depends_on definition 13.48 Differentiable manifold ¶
    - depends_on definition 13.47 Differentiable structure ¶
      - depends_on definition 13.44 Atlas ¶
  - depends_on definition 13.84 Tensor ¶
    - depends_on definition 13.83 Covector ¶
      - depends_on definition 13.81 Vector on a manifold ¶
    - depends_on definition 13.81 Vector on a manifold ¶ ↺
proves proof ch:11-manifolds-tensors-curvature@proof-25 ¶

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type	direction	node	provenance	where
`depends_on`	→	Isometry	declared	parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:5551
`proves`	←	ch:11-manifolds-tensors-curvature@proof-25	declared	parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:5554