Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
differential forms
vector fields tensor fields |
| gptkbp:category |
derivative operator
|
| gptkbp:describes |
change of a tensor field along the flow of a vector field
|
| gptkbp:field |
gptkb:mathematics
differential geometry |
| gptkbp:form |
L_X ω = d(i_X ω) + i_X(dω)
|
| gptkbp:generalizes |
Lie bracket
directional derivative |
| https://www.w3.org/2000/01/rdf-schema#label |
Lie derivative
|
| gptkbp:introducedIn |
19th century
|
| gptkbp:namedAfter |
gptkb:Sophus_Lie
|
| gptkbp:notation |
L_X
|
| gptkbp:relatedTo |
gptkb:Cartan's_magic_formula
covariant derivative exterior derivative |
| gptkbp:usedIn |
gptkb:general_relativity
theory of Lie groups differential topology |
| gptkbp:bfsParent |
gptkb:Cartan's_magic_formula
gptkb:exterior_calculus |
| gptkbp:bfsLayer |
6
|