Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
Riemannian measure
|
| gptkbp:definedIn |
gptkb:Riemannian_manifold
|
| gptkbp:dependsOn |
metric tensor
|
| gptkbp:field |
differential geometry
|
| gptkbp:generalizes |
Lebesgue measure
|
| gptkbp:hasInvariant |
isometries of the manifold
|
| https://www.w3.org/2000/01/rdf-schema#label |
Riemannian volume measure
|
| gptkbp:introduced |
gptkb:Bernhard_Riemann
|
| gptkbp:isSmooth |
true
|
| gptkbp:locallyExpressedAs |
sqrt(det(g)) dx1...dxn
|
| gptkbp:originatedIn |
gptkb:Riemannian_manifold
|
| gptkbp:usedFor |
integration on manifolds
|
| gptkbp:usedToDefine |
integration of functions on manifolds
volume of subsets of a manifold |
| gptkbp:bfsParent |
gptkb:Riemannian_geometry
|
| gptkbp:bfsLayer |
5
|