Riemannian geometry

Rie·mann·ian geometry  (r-män-n)

n.

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

---

[After Georg Friedrich Bernhard Riemann.]

---

Riemannian geometry

n

(Mathematics) 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  (r-män-n)

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

Thesaurus

Noun

1.

Riemannian geometry - (mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle; "Bernhard Riemann pioneered elliptic geometry" elliptic geometry math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement non-Euclidean geometry - (mathematics) geometry based on axioms different from Euclid's; "non-Euclidean geometries discard or replace one or more of the Euclidean axioms"