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