Riemannian geometry


noun Geometry.

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

Origin of Riemannian geometry

First recorded in 1915–20

British Dictionary definitions for riemannian geometry

Riemannian geometry

noun

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

Scientific definitions for riemannian geometry

Riemannian geometry
[ rē-mänē-ən ]

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