Skip to main

Mathematics (thesaurus)

Search from vocabulary

Concept information

topology > algebraic topology > manifold > differentiable manifold
geometry > topological space > manifold > differentiable manifold
geometry > differential geometry > differentiable manifold
topology > differential topology > differentiable manifold

Término preferido

differentiable manifold  

Definición

  • In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a vector space to allow one to apply calculus. Any manifold can be described by a collection of charts (atlas). One may then apply ideas from calculus while working within the individual charts, since each chart lies within a vector space to which the usual rules of calculus apply. If the charts are suitably compatible (namely, the transition from one chart to another is differentiable), then computations done in one chart are valid in any other differentiable chart.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Differentiable_manifold)

Etiquetas alternativas

  • differential manifold

En otras lenguas

URI

http://data.loterre.fr/ark:/67375/PSR-RZMJ5VH2-S

Descargue este concepto: