Riemannian

adj

By · According to Wiktionary data (CC BY-SA) ·

"riemannian" is a 10-letter English headword indexed on PlainSpell.

The verdict

“Riemannian” is uncommon English (frequency #73,593 among 3,094 “R” headwords), classed as an adjective. The kind of spelling people second-guess.

#73,593
frequency rank, English
3,094
“R” headwords

According to Wiktionary data (CC BY-SA, analyzed September 3, 2026) - Of or relating to the work, or theory developed from the work, of German mathematician Bernhard Riemann, especially to Riemannian manifolds and Riemannian geometry.

Corpus desk

Index EN-riemannian · Riemannian · English

Riemannian · rank #73,593 · 0 variants · 0 confusables

  • FREQ-RARE #73,593
  • LEN-MEGA 10 letters
  • VOW-5 5 vowels
  • CONFUS-0 No pairs
  • VAR-0 0 variants
  • BOOK-MID 3,094
  • PHOTO-FINISH Ritu

Nearest frequency peer: Ritu (+1 rank slots)

Read with this headword: Spelling guide for this pattern

Desk codes from Wiktionary headword shape, FrequencyWords rank tier, confusable-pair count, generated misspelling depth, letter-cohort book size, and photo-finish peer. Not a difficulty grade.

Long-tail ranks near “Riemannian”

Sparse band: bars invert rank so rarer forms read shorter

corpus weight

What this shows Long-tail view: where “Riemannian” sits against similarly uncommon English ranks.

Source FrequencyWords open word-frequency list As of September 3, 2026
Key facts for Riemannian
PropertyValue
HeadwordRiemannian
LanguageEnglish
Part of speechAdjective
Letters10
Frequency rank#73,593
Misspellings tracked0
Confusable pairs0
SourceWiktionary (kaikki.org)

Long-tail rank of “Riemannian” in English

Every-word frequency runs from the handful of words we use constantly (left) to the long tail used once in a blue moon (right).Riemannianfalls in this rarity band:

#1#100#1K#10K#100K
← used constantlyrarely used →

The axis is logarithmic, with each marked tick roughly ten times rarer than the last. Rare peers in the same band: “Ritu” (#73,594), “retool” (#73,591), “retinitis” (#73,590). Among 3,094 “R” headwords, “Riemannian” is #73,593. Source: FrequencyWords open word-frequency list.

Rare enough to double-check

Riemannian is uncommon English at frequency #73,593 among 3,094 “R” headwords, classed as anadjective. Rarity is why readers land here mid-draft. 2 senses are on record.

No generated misspelling entries exist for Riemannian in our index, a straightforward case of a spelling with little room for common typos. We don't track a confusable pairing for this entry, suggesting its spelling stands apart enough that readers rarely confuse it with something else.

Etymologically, the entry records: From Riemann + -ian. The correct English form is Riemannian, spelled R-I-E-M-A-N-N-I-A-N.

Definition

  1. 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.
  2. 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".

Recorded use

Wiktionary examples

These source excerpts show how Riemannian appears in context. They illustrate usage; the definition above remains the entry’s reference meaning.

  1. where R is the Riemannian curvature of the metric g, regarded as an operatorname End(TM)-valued two form, and √ is the Pfaffian, which is an invariant polynomial defined on the Lie algebra of skew symmetric matrices in even dimensions.
  2. As the preferred metrics applied to symplectic forms are Kähler metrics one could ask for the Riemannian structure which would make the cone with the metric #92;overlineg#61;dt²#43;t²ᵍ together with the symplectic form #92;omega into a Kähler manifold. Then #92;overlineg and #92;omega define a complex structure #92;overline#92;Phi. Alternatively, one coul…

Etymology

From Riemann + -ian.

This word in other languages

riemannien(Français)

Definitions, pronunciation, and etymology for this entry are drawn from Wiktionary via the kaikki.org structured extract (CC BY-SA); frequency ordering uses the FrequencyWords open word-frequency list (2018 English corpus, MIT). See the methodology for how each field is sourced and updated.

Frequently Asked Questions

How do you spell "Riemannian"?
"Riemannian" is spelled R-I-E-M-A-N-N-I-A-N.
What does "Riemannian" mean?
As an adjective, "Riemannian" means: Of or relating to the work, or theory developed from the work, of German mathematician Bernhard Riemann, especially to Riemannian manifolds and Riemannian geometry.
What is the origin of the word "Riemannian"?
From Riemann + -ian. See the full etymology section above for more details.
Is PlainSpell free to use?
Yes, PlainSpell is a completely free word reference. You can look up definitions, pronunciations, confusable pairs, homophones, and spelling corrections across 5 languages without any sign-up or subscription.

Similar English words by spelling shape

Same letter count and similar misspelling depth for "Riemannian", not the corpus desk frequency band.

Same letter count

Frequency-ranked English headwords with 10 letters (nearest by frequency rank).

sacredness#73,604reclassify#73,579polygamist#73,542stigmatize#73,659

Source: Wiktionary (via kaikki.org) Structured Wiktionary extract

Source: FrequencyWords open word-frequency list