Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
differential operator
|
| gptkbp:actsOn |
smooth functions
|
| gptkbp:alsoKnownAs |
geometric Laplacian
|
| gptkbp:appearsIn |
gptkb:wave_equation
gptkb:general_relativity quantum mechanics |
| gptkbp:definedIn |
gptkb:Riemannian_manifold
|
| gptkbp:field |
gptkb:mathematics
differential geometry |
| gptkbp:form |
div(grad f) for Riemannian manifolds
|
| gptkbp:generalizes |
gptkb:Laplace_operator
|
| gptkbp:heldBy |
second-order differential operator
|
| https://www.w3.org/2000/01/rdf-schema#label |
Laplace–Beltrami operator
|
| gptkbp:namedAfter |
gptkb:Pierre-Simon_Laplace
gptkb:Eugenio_Beltrami |
| gptkbp:relatedTo |
gptkb:heat_equation
gptkb:Hodge_Laplacian eigenvalue problem |
| gptkbp:symbol |
Δ
|
| gptkbp:used_in |
gptkb:spectral_geometry
mathematical physics |
| gptkbp:bfsParent |
gptkb:Weyl's_law
gptkb:Riemannian_geometry |
| gptkbp:bfsLayer |
5
|