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Riemannian geometry
noun
, Geometry.
- 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. Compare hyperbolic geometry.
- the differential geometry of a metric space that generalizes a Euclidean space.
Riemannian geometry
noun
- a branch of non-Euclidean geometry in which a line may have many parallels through a given point. It has a model on the surface of a sphere, with lines represented by great circles Also calledelliptic geometry
Riemannian geometry
/ rē-män′ē-ən /
- A non-Euclidean system of geometry based on the postulate that within a plane every pair of lines intersects.
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Word History and Origins
Origin of Riemannian geometry1
First recorded in 1915–20
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