Riemannian geometryRie·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 geometryafter G. F. B. Riemann (1826-66), German mathematician
A non-Euclidean system of geometry based on the postulate that within a plane every pair of lines intersects.
Origin of Riemannian geometryAfter Georg Friedrich Bernhard Riemann.
- the branch of differential geometry that studies Riemannian manifolds