Riemannian geometry

noun

Rie·​mann·​ian geometry rē-ˈmä-nē-ən- How to pronounce Riemannian geometry (audio)
: a non-Euclidean geometry in which straight lines are geodesics and in which the parallel postulate is replaced by the postulate that every pair of straight lines intersects

Examples of Riemannian geometry in a Sentence

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Certain phenomena—such as projecting flight paths around planets onto 2D spaces, or the space between two vertices of a graph—violate Euclidean (or coordinate) geometry; luckily, Riemannian geometry, frequently used to study the curvature of surfaces, can still model them. Adrienne Bernhard, Popular Mechanics, 20 Mar. 2023 In the new study, Bujack and her colleagues discovered that the longstanding application of Riemannian geometry overestimates perception of large color differences. Adrienne Bernhard, Popular Mechanics, 20 Mar. 2023

Word History

Etymology

G. F. B. Riemann

First Known Use

1896, in the meaning defined above

Time Traveler
The first known use of Riemannian geometry was in 1896

Dictionary Entries Near Riemannian geometry

Cite this Entry

“Riemannian geometry.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/Riemannian%20geometry. Accessed 22 Dec. 2024.

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