equation 13.1 eq:mfd-eta
open in the book ·
parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:119
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Supports
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depends_on
definition 13.122
Vielbein
¶
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depends_on
proposition 13.123
Local Lorentz freedom
¶
- depends_on theorem A.49 thm:app-eh-equivalence ¶
-
depends_on
theorem 43.3
Equivalence of the two variable sets
¶
- depends_on proposition 44.13 First-order variation in vielbein-form variables ¶
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depends_on
theorem 13.156
Cartan structure equations
¶
- depends_on proposition 44.13 First-order variation in vielbein-form variables ¶ ↺
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depends_on
proposition 13.157
Bianchi identities
¶
-
depends_on
proposition 13.154
Symmetries of the curvature
¶
- depends_on definition 13.111 Linearised curvature of a symmetric field ¶
- depends_on theorem 44.23 Contracted Bianchi identity ¶
- depends_on theorem 13.160 Maximal symmetry forces constant curvature ¶
-
depends_on
proposition 13.154
Symmetries of the curvature
¶
-
depends_on
proposition 13.158
The connection determined by vielbein and torsion
¶
- depends_on proposition 44.13 First-order variation in vielbein-form variables ¶ ↺
- depends_on theorem 43.3 Equivalence of the two variable sets ¶ ↺
-
depends_on
proposition 13.123
Local Lorentz freedom
¶
Neighborhood
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
← | Vielbein | declared | parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:5604 |