differentiable manifold
A manifold that is locally similar enough to a Euclidean space to allow one to do calculusA manifold that is locally similar enough to a Euclidean space (ℝⁿ) to allow one to do calculus;
Meaning
2 sensesA manifold that is locally similar enough to a Euclidean space (ℝⁿ) to allow one to do calculus;
The charts (homeomorphisms) that make up any differentiable structure of a differentiable manifold are required to be such that the transition from one to another is differentiable.
differenzierbare Mannigfaltigkeit
A manifold that is locally similar enough to a Euclidean space (ℝⁿ) to allow one to do calculus; (more formally) a manifold that can be equipped with a differentiable structure (an atlas of ℝⁿ-compatible charts).
A manifold that can be equipped with a differentiable structure (an atlas of ℝⁿ-compatible charts).
Translations
4 languagesBy meaning 1
Forms
plural: differentiable manifolds| Singular | differentiable manifold |
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| Plural | differentiable manifolds |
regular
See also
neighbours in the dictionaryDictionary text adapted from Wiktionary (Wiktionary contributors, CC BY-SA 4.0) and Open English WordNet / Princeton WordNet (CC BY 4.0, WordNet License); shared under CC BY-SA 4.0. Example sentences and recordings are credited where they appear.