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non-Euclidean geometry vs Riemannian geometry

Riemannian geometry vs non-Euclidean geometry

non-Euclidean geometry and Riemannian geometry both are nouns.

Word NounAdjectiveVerbAdverb
non-Euclidean geometry Yes No No No
Riemannian geometry Yes No No No
As nouns, Riemannian geometry is a hyponym of non-Euclidean geometry; that is, Riemannian geometry is a word with a more specific, narrower meaning than non-Euclidean geometry:
  • non-Euclidean geometry: (mathematics) geometry based on axioms different from Euclid's
  • Riemannian geometry: (mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle
Other hyponyms of non-Euclidean geometry include hyperbolic geometry, elliptic geometry.
non-Euclidean geometry (noun) Riemannian geometry (noun)
(mathematics) geometry based on axioms different from Euclid's (mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle
Difference between non-Euclidean geometry and Riemannian geometry

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