Skip to main content

Mathematics (thesaurus)

Search from vocabulary

align
annotate
download

Concept information

... > topology > algebraic topology > manifold > differentiable manifold > complex manifold > Riemann surface > Gauss-Bonnet formula
... > geometry > topological space > manifold > differentiable manifold > complex manifold > Riemann surface > Gauss-Bonnet formula
... > geometry > differential geometry > differentiable manifold > complex manifold > Riemann surface > Gauss-Bonnet formula
... > topology > differential topology > differentiable manifold > complex manifold > Riemann surface > Gauss-Bonnet formula
geometry > complex geometry > complex manifold > Riemann surface > Gauss-Bonnet formula
geometry > differential geometry > Riemannian geometry > Gauss-Bonnet formula

Preferred term

Gauss-Bonnet formula  

Definition

  • In the mathematical field of differential geometry, the Gauss–Bonnet theorem (or Gauss–Bonnet formula) is a fundamental formula which links the curvature of a surface to its underlying topology. In the simplest application, the case of a triangle on a plane, the sum of its angles is 180 degrees. The Gauss–Bonnet theorem extends this to more complicated shapes and curved surfaces, connecting the local and global geometries.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Gauss%E2%80%93Bonnet_theorem)

Broader concept

Entry terms

  • Gauss-Bonnet theorem

In other languages

URI

http://data.loterre.fr/ark:/67375/PSR-RP74HVCX-4

Download this concept:

RDF/XML TURTLE JSON-LD Created 7/19/23, last modified 8/24/23