Meaning of Riemannian geometry

Riemann'ian geom'etry

Pronunciation: [key]
— Geom. Geom.
  1. Also calledthe 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. Cf.
  2. the differential geometry of a metric space that generalizes a Euclidean space.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.