Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
2-dimensional surfaces
|
| gptkbp:field |
differential geometry
|
| gptkbp:generalizes |
gptkb:Euler's_polyhedral_formula
gptkb:Chern–Gauss–Bonnet_theorem |
| https://www.w3.org/2000/01/rdf-schema#label |
Gauss–Bonnet formula
|
| gptkbp:namedAfter |
gptkb:Carl_Friedrich_Gauss
gptkb:Pierre_Ossian_Bonnet |
| gptkbp:publishedIn |
gptkb:Crelle's_Journal
|
| gptkbp:relatedTo |
gptkb:Euler_characteristic
curvature |
| gptkbp:state |
The integral of Gaussian curvature over a compact 2-dimensional surface plus the integral of geodesic curvature along the boundary equals 2π times the Euler characteristic of the surface.
|
| gptkbp:yearProposed |
1848
|
| gptkbp:bfsParent |
gptkb:Louis_Gauss
|
| gptkbp:bfsLayer |
6
|