BabelNet

bn:00030409n

Noun Concept

Categories: Non-Euclidean geometry, Classical geometry, Riemannian geometry, Metric geometry, Bernhard Riemann

elliptic geometry Riemannian geometry Elliptic or Riemannian geometry elliptic plane elliptic space

(mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle WordNet 3.0

Definitions

Examples

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(mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle WordNet 3.0 & Open English WordNet

Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, defined as smooth manifolds with a Riemannian metric. Wikipedia

Elliptic geometry is an example of a geometry in which Euclid's parallel postulate does not hold. Wikipedia

Branch of differential geometry dealing with Riemannian manifolds Wikidata

Non-Euclidean geometry Wikidata

The branch of differential geometry that concerns Riemannian manifolds; an example of a geometry that involves Riemannian manifolds. Wiktionary

Branch of differential geometry. Wiktionary (translation)

Bernhard Riemann pioneered elliptic geometry WordNet 3.0 & Open English WordNet

IS A

non-Euclidean geometry

differential geometry

HAS PART

geodesic convexity

Cartan–Ambrose–Hicks theorem

PART OF

non-Euclidean geometry

CATEGORY DOMAIN

mathematics

NAMED AFTER

Riemann

WordNet 3.0 & Open English WordNet

elliptic geometry, Riemannian geometry

Wikipedia

elliptic geometry, Riemannian geometry

Wikidata

elliptic geometry, Riemannian geometry

Wiktionary

Riemannian geometry

Wikipedia Redirections

Elliptic Geometry, Elliptic or Riemannian geometry, elliptic plane, elliptic space, elliptical geometry, elliptical space, Reimannian geometry, Riemann geometry, Riemannian differential geometry, Riemannian Geometry, Riemannian space