Phrase guide

differential geometry

noun · 1 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

The study of geometry, especially geometric structures on differentiable manifolds, using techniques from calculus, linear algebra and multilinear algebra.

Definition source: English Wiktionary via Wiktextract

Usage: uncountable, usually

Topics: geometry, mathematical-analysis, mathematics, sciences

Examples

  • 1945, Eric Temple Bell, The Development of Mathematics, 2nd Edition, 1992 Republication, page 358, [...] projective differential geometries of the American and Italian schools do not seem to have attracted physicists.
  • 1962, I. M. James, The Mathematical Works of J. H. C. Whitehead, Volume 1: Differential Geometry, page 189, The general theory of manifolds of class 2 is a sub-class of differential geometries, which contain the theory of affine connections, curvature and osculating sub-spaces.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

14 source translations are retained for this English entry.

  • Chinese Mandarin: 微分幾何 /微分几何 (wēifēn jǐhé) — differential geometry
  • Finnish: differentiaaligeometria — differential geometry
  • French: géométrie différentielle — differential geometry
  • German: Differentialgeometrie — differential geometry
  • German: Differenzialgeometrie — differential geometry
  • Hungarian: differenciálgeometria — differential geometry
  • Italian: geometria differenziale — differential geometry
  • Japanese: 微分幾何学 — differential geometry
  • Macedonian: диференција́лна геоме́трија (diferencijálna geométrija) — differential geometry
  • Polish: geometria różniczkowa — differential geometry
  • Romanian: geometrie diferențială — differential geometry
  • Russian: дифференциальная геометрия (differencialʹnaja geometrija) — differential geometry
  • Serbo-Croatian: diferencijalna geometrija — differential geometry
  • Spanish: geometría diferencial — differential geometry