Phrase guide

Riemannian geometry

noun · 3 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

Each Play button uses your device's default local English voice, or a natural local fallback. The selected voice name appears after playback. This is synthesized speech, not a source recording.

No pronunciation record was provided for this word.

1

noun

Meaning 1

The branch of differential geometry that concerns Riemannian manifolds; an example of a geometry that involves Riemannian manifolds.

Definition source: English Wiktionary via Wiktextract

Usage: uncountable, usually

Topics: geometry, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

The geometry of elliptical and spherical shapes.

Definition source: English Wiktionary via Wiktextract

Usage: uncountable, usually

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: elliptic geometry, spherical geometry

Antonyms: none provided

3

noun

Meaning 3

(mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle

Definition source: Princeton WordNet 3.0

Examples

  • Bernhard Riemann pioneered elliptic geometry

Meaning relationships

Synonyms: elliptic geometry

Antonyms: none provided

Broader terms: non-Euclidean geometry

History

Etymology

From Riemannian + geometry, after German mathematician Bernhard Riemann.

Across languages

Translations

4 source translations are retained for this English entry.

  • Chinese Mandarin: 黎曼幾何 /黎曼几何 (límàn jǐhé) — branch of differential geometry
  • German: Riemannsche Geometrie — branch of differential geometry
  • Japanese: リーマン幾何学 — branch of differential geometry
  • Polish: geometria riemannowska — branch of differential geometry