Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
compact oriented Riemannian manifolds
|
| gptkbp:basisFor |
gptkb:Hodge_theory
|
| gptkbp:component |
harmonic forms
co-exact forms exact forms |
| gptkbp:describes |
decomposition of differential forms
|
| gptkbp:field |
gptkb:topology
differential geometry |
| gptkbp:formedBy |
1930s
|
| gptkbp:generalizes |
gptkb:Hodge–de_Rham_spectral_sequence
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hodge decomposition
|
| gptkbp:namedAfter |
gptkb:W._V._D._Hodge
|
| gptkbp:relatedTo |
gptkb:Hodge_theory
gptkb:Laplace–Beltrami_operator |
| gptkbp:state |
every de Rham cohomology class has a unique harmonic representative
|
| gptkbp:usedIn |
mathematical physics
global analysis complex geometry |
| gptkbp:bfsParent |
gptkb:Hodge_theory
gptkb:William_V._D._Hodge |
| gptkbp:bfsLayer |
5
|