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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

Terme préférentiel

Gauss-Bonnet formula  

Définition(s)

  • 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)

Concept(s) générique(s)

Synonyme(s)

  • Gauss-Bonnet theorem

Traductions

URI

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

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RDF/XML TURTLE JSON-LD Date de création 19/07/2023, dernière modif. 24/08/2023