Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_operator
|
| gptkbp:actsOn |
differential forms
|
| gptkbp:category |
differential topology
linear algebra |
| gptkbp:dependsOn |
gptkb:Metric
orientation |
| gptkbp:field |
gptkb:mathematics
differential geometry |
| gptkbp:introduced |
gptkb:W._V._D._Hodge
|
| gptkbp:mapType |
k-forms to (n-k)-forms
|
| gptkbp:notation |
*
|
| gptkbp:property |
gptkb:linear_operator
involutive up to sign |
| gptkbp:relatedTo |
gptkb:Laplace–de_Rham_operator
codifferential exterior derivative |
| gptkbp:usedIn |
gptkb:Hodge_theory
gptkb:Riemannian_geometry gptkb:de_Rham_cohomology |
| gptkbp:bfsParent |
gptkb:Sir_William_Vallance_Douglas_Hodge
|
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hodge star operator
|