Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
compact Riemannian manifolds
|
| gptkbp:C_depends_on |
dimension of the manifold
volume of the manifold |
| gptkbp:describes |
asymptotic distribution of eigenvalues of the Laplace-Beltrami operator
|
| gptkbp:firstPublished |
1911
|
| gptkbp:generalizes |
gptkb:Weyl's_law_for_domains_in_Euclidean_space
|
| https://www.w3.org/2000/01/rdf-schema#label |
Weyl's law for manifolds
|
| gptkbp:namedAfter |
gptkb:Hermann_Weyl
|
| gptkbp:relatedTo |
gptkb:spectral_geometry
|
| gptkbp:state |
the number of eigenvalues less than or equal to λ grows asymptotically as C·λ^{n/2} for large λ
|
| gptkbp:usedIn |
mathematical physics
quantum mechanics analysis of partial differential equations |
| gptkbp:bfsParent |
gptkb:Weyl's_law_for_smooth_domains
|
| gptkbp:bfsLayer |
7
|