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.

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

Riemannian geometry

noun

1. Also called: elliptic geometry. 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

Riemannian geometry

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

Word History and Origins

Origin of Riemannian geometry¹

First recorded in 1915–20