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Riemannian geometry definition

Rie·mann·ian geometry (rē mänē ən)

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°

Etymology: after G. F. B. Riemann (1826-66), Ger mathematician

Webster's New World College Dictionary Copyright © 2009 by Wiley Publishing, Inc., Cleveland, Ohio.
Used by arrangement with John Wiley & Sons, Inc.

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