Standard Lemma guide

Riemannian

adj · noun · 5 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

adj

Meaning 1

Of or relating to the work, or theory developed from the work, of German mathematician Bernhard Riemann, especially to Riemannian manifolds and Riemannian geometry.

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: mathematics, sciences

Examples

  • 2012, Yves Carriere, Appendix A: Variations on Riemannian Flows, Pierre Molino, Riemannian Foliations, Springer, page 217, The object of this appendix is to give a summary of known results on 1-dimensional oriented Riemannian Foliations.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

adj

Meaning 2

Relating to the musical theories of German theorist Hugo Riemann, particularly his theory of harmony, which is characterised by a system of "harmonic dualism".

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: entertainment, lifestyle, music

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

3

adj

Meaning 3

Alternative letter-case form of Riemannian.

Definition source: English Wiktionary via Wiktextract

Usage: alt-of, not-comparable

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

4

noun

Meaning 4

One who uses or supports the work of German mathematician Bernhard Riemann.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

5

adjective

Meaning 5

of or relating to Riemann's non-Euclidean geometry

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

From Riemann + -ian.

Across languages

Translations

7 source translations are retained for this English entry.

  • French: riemannien — Translations
  • Italian: riemanniano — Translations
  • Polish: riemannowski — Translations
  • French: riemannien — Translations
  • French: riemannienne — Translations
  • Polish: zwolennik Riemanna — Translations
  • Polish: zwolenniczka Riemanna — Translations
Real reading context

Riemannian in complete knowledge articles