equation 13.303 eq:mfd-vielbein-postulate
open in the book ·
parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:6645
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Supports
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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
¶
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depends_on
proposition 13.154
Symmetries of the curvature
¶
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depends_on
definition 13.111
Linearised curvature of a symmetric field
¶
- depends_on theorem 13.112 Symmetric analogue of the converse Poincaré lemma ¶
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depends_on
theorem 44.23
Contracted Bianchi identity
¶
- depends_on corollary 44.24 Conservation is an integrability condition ¶
- depends_on proposition 44.41 Four of the ten equations are constraints ¶
- depends_on proposition 44.30 The cosmological term ¶
- depends_on theorem 44.33 Lovelock's uniqueness theorem; imported ¶
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depends_on
theorem 13.160
Maximal symmetry forces constant curvature
¶
- depends_on proposition 44.31 de Sitter geometry ¶
- depends_on proposition 15.31 Radius and cosmological constant ¶
- depends_on theorem 48.3 The Robertson–Walker metric ¶
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depends_on
definition 13.111
Linearised curvature of a symmetric field
¶
-
depends_on
proposition 13.154
Symmetries of the curvature
¶
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depends_on
proposition 13.158
The connection determined by vielbein and torsion
¶
- depends_on proposition 44.13 First-order variation in vielbein-form variables ¶ ↺
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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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← | Cartan structure equations | declared | parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:6841 |