Phrase guide

differentiable manifold

noun · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

A manifold that is locally similar enough to a Euclidean space (Rn) to allow one to do calculus;

Definition source: English Wiktionary via Wiktextract

Qualifier: differential geometry

Examples

  • 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.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

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).

Definition source: English Wiktionary via Wiktextract

Qualifier: differential geometry; more formally

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

7 source translations are retained for this English entry.

  • Bulgarian: диференцируемо многообразие (diferenciruemo mnogoobrazie) — manifold locally similar enough to a Euclidean space for calculus to be done
  • French: variété différentiable — manifold locally similar enough to a Euclidean space for calculus to be done
  • French: variété différentielle — manifold locally similar enough to a Euclidean space for calculus to be done
  • German: differenzierbare Mannigfaltigkeit — manifold locally similar enough to a Euclidean space for calculus to be done
  • Italian: varietà differenziabile — manifold locally similar enough to a Euclidean space for calculus to be done
  • Polish: rozmaitość różniczkowa — manifold locally similar enough to a Euclidean space for calculus to be done
  • Polish: rozmaitość różniczkowalna — manifold locally similar enough to a Euclidean space for calculus to be done