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
|