Concept information
Término preferido
differentiable manifold
Definición
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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)
Concepto genérico
Conceptos específicos
- analytic manifold
- complex manifold
- conformally flat manifold
- Einstein manifold
- exotic sphere
- harmonic map
- Kähler manifold
- Lie group
- Lorentz surface
- Netto's theorem
- normal coordinates
- Poisson manifold
- pseudo-Riemannian manifold
- quaternionic manifold
- Riemannian manifold
- submersion
- symplectic manifold
- Whitney embedding theorem
etiqueta alternativa (skos)
- differential manifold
En otras lenguas
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francés
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variété différentiable
URI
http://data.loterre.fr/ark:/67375/PSR-RZMJ5VH2-S
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