Riemannian geometry

Noun

Meaning

(mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle

Source: WordNet

Synonyms

elliptic geometry Euclidean geometry affine geometry differential topology computational geometry descriptive geometry algebraic geometry algebraic topology differential geometry Euclid's fifth axiom absolute geometry conformal geometry Klein geometry complex geometry lie sphere geometry
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Hypernyms

non-Euclidean geometry

Examples

Bernhard Riemann pioneered elliptic geometry Source: Internet

An exact replacement of Whitehead's cosmology would need to admit a Riemannian geometry. Source: Internet

By contrast with Riemannian geometry, where the curvature provides a local invariant of Riemannian manifolds, Darboux's theorem states that all symplectic manifolds are locally isomorphic. Source: Internet

Riemannian geometry generalizes Euclidean geometry to spaces that are not necessarily flat, although they still resemble the Euclidean space at each point infinitesimally, i.e. in the first order of approximation. Source: Internet

Close letter words and terms

Riemann-Stieltjes integral Riemannean riemannian Riemannian manifold riemannian space Riemenschneider