Statements (23)
Predicate | Object |
---|---|
gptkbp:instanceOf |
differential operator
|
gptkbp:actsOn |
differential forms
|
gptkbp:alsoKnownAs |
gptkb:Hodge_Laplacian
|
gptkbp:defines |
Δ = dδ + δd
|
gptkbp:domain |
gptkb:Riemannian_manifold
|
gptkbp:eigenvalues |
related to harmonic forms
|
gptkbp:field |
gptkb:mathematics
differential geometry |
gptkbp:generalizes |
gptkb:Laplace–Beltrami_operator
|
https://www.w3.org/2000/01/rdf-schema#label |
Laplace–de Rham operator
|
gptkbp:isElliptic |
true
|
gptkbp:isSelfAdjoint |
true
|
gptkbp:location |
d is the exterior derivative
δ is the codifferential |
gptkbp:namedAfter |
gptkb:Georges_de_Rham
gptkb:Pierre-Simon_Laplace |
gptkbp:notation |
Δ
|
gptkbp:order |
second order
|
gptkbp:usedIn |
gptkb:Hodge_theory
gptkb:de_Rham_cohomology |
gptkbp:bfsParent |
gptkb:Hodge_Laplacian
gptkb:Hodge_star_operator |
gptkbp:bfsLayer |
7
|