proposition 13.95 The elementary cross-product identities
open in the book ·
parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:4637
· p. 510
Rests on
- depends_on equation 13.225 eq:mfd-tprod3 ¶
-
depends_on
proposition 13.6
Levi-Civita identities in three dimensions
¶
-
depends_on
definition 13.5
Tensor under orthogonal transformations
¶
-
depends_on
definition 13.4
Orthogonal coordinate transformation
¶
- depends_on definition 13.3 Orthogonal coordinate system ¶
-
depends_on
definition 13.4
Orthogonal coordinate transformation
¶
- depends_on equation 5.19 eq:lin-leibniz-det ¶
- proves proof ch:11-manifolds-tensors-curvature@proof-1 ¶
-
depends_on
definition 13.5
Tensor under orthogonal transformations
¶
- proves proof ch:11-manifolds-tensors-curvature@proof-18 ¶
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | eq:mfd-tprod3 | declared | parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:4657 |
depends_on |
→ | Levi-Civita identities in three dimensions | declared | parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:4657 |
proves |
← | ch:11-manifolds-tensors-curvature@proof-18 | declared | parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:4660 |