Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Weyl_rescaling
|
| gptkbp:appliesTo |
metric tensor
|
| gptkbp:category |
symmetry transformation
|
| gptkbp:defines |
A local rescaling of the metric tensor by a smooth, non-vanishing function.
|
| gptkbp:field |
gptkb:theoretical_physics
differential geometry |
| gptkbp:form |
g'_{μν}(x) = Ω^2(x) g_{μν}(x)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Weyl transformation
|
| gptkbp:introducedIn |
1918
|
| gptkbp:invariantQuantity |
conformal structure
|
| gptkbp:namedAfter |
gptkb:Hermann_Weyl
|
| gptkbp:notInvariantQuantity |
gptkb:region
|
| gptkbp:property |
preserves angles but not lengths
|
| gptkbp:relatedTo |
gptkb:conformal_transformation
scale invariance |
| gptkbp:usedIn |
gptkb:general_relativity
gptkb:quantum_field_theory gptkb:string_theory |
| gptkbp:bfsParent |
gptkb:Hermann_Weyl
|
| gptkbp:bfsLayer |
4
|