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Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:Tensor |
| gptkbp:appearsIn |
gptkb:Petrov_classification
|
| gptkbp:describes |
conformal curvature
|
| gptkbp:dimensions |
defined for dimension ≥ 3
|
| gptkbp:encodes |
tidal forces in vacuum
|
| gptkbp:field |
gptkb:general_relativity
differential geometry |
| gptkbp:hasInvariant |
conformal transformations
|
| https://www.w3.org/2000/01/rdf-schema#label |
Weyl tensor
|
| gptkbp:isTraceFree |
true
|
| gptkbp:isZero |
in 2 dimensions
|
| gptkbp:namedAfter |
gptkb:Hermann_Weyl
|
| gptkbp:notation |
C_{abcd}
|
| gptkbp:partOf |
Riemann curvature tensor decomposition
|
| gptkbp:rank |
(0,4) tensor
|
| gptkbp:relatedTo |
gptkb:Ricci_tensor
gptkb:Riemann_tensor gptkb:Schouten_tensor |
| gptkbp:symmetry |
has symmetries similar to Riemann tensor
|
| gptkbp:usedIn |
gptkb:Einstein_field_equations
|
| gptkbp:vanishes |
in conformally flat manifolds
|
| gptkbp:bfsParent |
gptkb:Hermann_Weyl
|
| gptkbp:bfsLayer |
4
|