What does "riemannian" mean?
One who uses or supports the work of German mathematician Bernhard Riemann.
Riemannian
adj, noun
adj, noun ·Rare ·Advanced level
Meaning at a glance
- Primary sense: One who uses or supports the work of German mathematician Bernhard Riemann.
- Grammar: riemannian is listed as adj, noun.
- Nearest alternatives: differential, eponymous, geometric, historical.
- Useful contrasts: Euclidean, contemporary, modern.
- Usage evidence: A distance-preserving diffeomorphism between two Riemannian manifolds is called an isometry.
How to use "riemannian"
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Meaning check
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Source and review context
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Before you rely on this definition
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Compare nearby meanings
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Definition decision workflow
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Final meaning check
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Definitions
Noun
- 1 One who uses or supports the work of German mathematician Bernhard Riemann.
Adjective
- 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. not-comparable
"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 Alternative letter-case form of Riemannian. alt-of, not-comparable
- 3 Relating to the musical theories of German theorist Hugo Riemann, particularly his theory of harmony, which is characterised by a system of "harmonic dualism". not-comparable
"And not only theory: most central European composers of this century were schooled in Riemannian doctrine of one type or another."
Adjective
- 1 of or relating to Riemann's non-Euclidean geometry wordnet
Antonyms
Example
"A distance-preserving diffeomorphism between two Riemannian manifolds is called an isometry."
Common questions
What is a synonym for "riemannian"?
Common synonyms include: differential, eponymous, geometric, historical, metric.
How do you use "riemannian" in a sentence?
A distance-preserving diffeomorphism between two Riemannian manifolds is called an isometry.
Etymology
From Riemann + -ian.