Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
even-dimensional Riemannian manifolds
|
| gptkbp:author |
gptkb:Shiing-Shen_Chern
|
| gptkbp:category |
theorems in differential geometry
|
| gptkbp:field |
differential geometry
global analysis |
| gptkbp:generalizes |
gptkb:Gauss-Bonnet_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Chern-Gauss-Bonnet theorem
|
| gptkbp:involves |
gptkb:Riemannian_manifold
differential forms topological invariants curvature form |
| gptkbp:namedAfter |
gptkb:Carl_Friedrich_Gauss
gptkb:Pierre_Ossian_Bonnet gptkb:Shiing-Shen_Chern |
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
gptkb:Euler_characteristic
curvature |
| gptkbp:sentence |
The integral of the Euler class over a compact, oriented, even-dimensional Riemannian manifold equals its Euler characteristic.
|
| gptkbp:yearProved |
1944
|
| gptkbp:bfsParent |
gptkb:Gauss-Bonnet_theorem
|
| gptkbp:bfsLayer |
6
|