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