Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
compact Riemannian manifolds
|
| gptkbp:field |
differential geometry
|
| gptkbp:generalizes |
gptkb:Cheeger–Buser_inequality
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cheeger's theorem
|
| gptkbp:influenced |
isoperimetric inequalities
spectral gap estimates |
| gptkbp:namedAfter |
gptkb:Jeff_Cheeger
|
| gptkbp:publishedIn |
gptkb:Journal_of_Differential_Geometry
|
| gptkbp:relatedTo |
gptkb:Cheeger_constant
eigenvalues of Laplace–Beltrami operator |
| gptkbp:state |
The first nonzero eigenvalue of the Laplace–Beltrami operator is bounded below by a function of the Cheeger constant.
|
| gptkbp:topic |
gptkb:Riemannian_geometry
gptkb:spectral_geometry |
| gptkbp:yearProposed |
1970
|
| gptkbp:bfsParent |
gptkb:Rademacher's_theorem
|
| gptkbp:bfsLayer |
7
|