# Riemannian geometry

Rie·mann·ian geometry a form of non-Euclidean geometry in which there are no parallel lines, since its figures can be conceived as constructed on a curved surface where all straight lines intersect, and in which the sum of the angles of a triangle exceeds 180°

Origin of Riemannian geometry

after G. F. B.*Riemann*(1826-66), German mathematician

## Riemannian geometry

noun

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

Origin of Riemannian geometry

AfterGeorg Friedrich Bernhard**Riemann**

## riemannian-geometry

Noun

(*uncountable*)

- the branch of differential geometry that studies Riemannian manifolds

Origin