Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
differential operator
|
| gptkbp:actsOn |
functions on Riemannian manifolds
|
| gptkbp:alsoKnownAs |
Laplace operator on manifolds
|
| gptkbp:appearsIn |
gptkb:heat_equation
gptkb:wave_equation eigenvalue problems |
| gptkbp:category |
mathematical operator
|
| gptkbp:definedIn |
gptkb:Riemannian_manifold
|
| gptkbp:definitionInCoordinates |
divergence of gradient
|
| gptkbp:field |
gptkb:mathematics
differential geometry |
| gptkbp:generalizes |
gptkb:Laplace_operator
|
| https://www.w3.org/2000/01/rdf-schema#label |
Laplace-Beltrami operator
|
| gptkbp:isElliptic |
true
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isSelfAdjoint |
true
|
| gptkbp:namedAfter |
gptkb:Pierre-Simon_Laplace
gptkb:Eugenio_Beltrami |
| gptkbp:relatedTo |
gptkb:Dirichlet_problem
gptkb:Hodge_Laplacian gptkb:Neumann_problem |
| gptkbp:symbol |
Δ
|
| gptkbp:usedIn |
gptkb:spectral_geometry
harmonic analysis partial differential equations |
| gptkbp:bfsParent |
gptkb:Riemannian_manifold
gptkb:Differential_geometry |
| gptkbp:bfsLayer |
5
|