Concept information
Preferred term
differentiable manifold
Definition(s)
- 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)
Broader concept(s)
Narrower concept(s)
Synonym(s)
- differential manifold
In other languages
-
French
-
variété différentiable
URI
http://data.loterre.fr/ark:/67375/MDL-MDBKZH3Z-Z
{{label}}
{{#each values }} {{! loop through ConceptPropertyValue objects }}
{{#if prefLabel }}
{{/if}}
{{/each}}
{{#if notation }}{{ notation }} {{/if}}{{ prefLabel }}
{{#ifDifferentLabelLang lang }} ({{ lang }}){{/ifDifferentLabelLang}}
{{#if vocabName }}
{{ vocabName }}
{{/if}}