Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
differential operator
|
| gptkbp:actsOn |
differential forms
|
| gptkbp:alsoKnownAs |
gptkb:Laplace–de_Rham_operator
|
| gptkbp:appearsIn |
gptkb:spectral_geometry
mathematical physics global analysis |
| gptkbp:definedIn |
gptkb:Riemannian_manifold
|
| gptkbp:defines |
Δ = dδ + δd
|
| gptkbp:eigenvalues |
related to Hodge theory
|
| gptkbp:ellipticOperator |
true
|
| gptkbp:field |
gptkb:mathematics
differential geometry |
| gptkbp:generalizes |
gptkb:Laplace–Beltrami_operator
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hodge Laplacian
|
| gptkbp:kernelType |
harmonic forms
|
| gptkbp:location |
d is the exterior derivative
δ is the codifferential |
| gptkbp:namedAfter |
gptkb:W._V._D._Hodge
|
| gptkbp:selfAdjoint |
true
|
| gptkbp:usedIn |
gptkb:Hodge_decomposition
gptkb:de_Rham_cohomology |
| gptkbp:bfsParent |
gptkb:Laplace–Beltrami_operator
gptkb:Laplace-Beltrami_operator |
| gptkbp:bfsLayer |
6
|