Riemannian geometry
noun
Rie·mann·ian geometry
rē-ˈmä-nē-ən- 
: 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
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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.
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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
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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
Cite this Entry
“Riemannian geometry.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/Riemannian%20geometry. Accessed 3 Jul. 2025.
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