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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
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
(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
From Riemannian + geometry, after German mathematician Bernhard Riemann.
Across languages
Translations
4 source translations are retained for this English entry.
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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
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Polish:
geometria riemannowska
— branch of differential geometry