classical Gauss–Bonnet theorem
GPTKB entity
Statements (13)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:appliesTo |
compact two-dimensional surfaces
|
gptkbp:field |
differential geometry
|
gptkbp:generalizes |
gptkb:Chern–Gauss–Bonnet_theorem
|
https://www.w3.org/2000/01/rdf-schema#label |
classical Gauss–Bonnet theorem
|
gptkbp:namedAfter |
gptkb:Carl_Friedrich_Gauss
gptkb:Pierre_Ossian_Bonnet |
gptkbp:publishedIn |
19th century
|
gptkbp:relatedTo |
gptkb:Euler_characteristic
curvature |
gptkbp:state |
The integral of Gaussian curvature over a compact 2D surface equals 2π times the Euler characteristic of the surface.
|
gptkbp:bfsParent |
gptkb:Riemannian_Gauss–Bonnet_theorem
|
gptkbp:bfsLayer |
6
|