# Riemannian-geometry

**noun**, Geometry.

1.

Also called elliptic geometry. the branch of non-Euclidean geometry that replaces the parallel postulate of Euclidean geometry with the postulate that in a plane every pair of distinct lines intersects.

Compare hyperbolic geometry.

2.

the differential geometry of a metric space that generalizes a Euclidean space.

Riemannian geometry

**noun**

1.

a branch of non-Euclidean geometry in which a line may have many parallels through a given point. It has a model on the surface of a sphere, with lines represented by great circles Also called elliptic geometry

Riemannian geometry

(rē-män’ē-ən)

A non-Euclidean system of geometry based on the postulate that within a plane every pair of lines intersects.

Tagged: r

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