elliptic geometry vs Riemannian geometry

elliptic geometry and Riemannian geometry both are nouns.

Word	Noun	Adjective	Verb	Adverb
elliptic geometry	Yes	No	No	No
Riemannian geometry	Yes	No	No	No

As nouns, elliptic geometry and Riemannian geometry are synonyms defined as:

elliptic geometry and Riemannian geometry: (mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle

elliptic geometry (noun)	Riemannian geometry (noun)
(mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle	(mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle