Dictionary
Riemann'ian geom'etry
Geom.
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. Cf.
hyperbolic geometry.
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.