Word.ws English Dictionary

Riemannian geometry

Riemannian geometry noun: the branch of differential geometry that concerns Riemannian manifolds; an example of a geometry that involves Riemannian manifolds.

Noun

Riemannian geometry (usually uncountable, plural Riemannian geometries)

  1. (usually) The branch of differential geometry that concerns Riemannian manifolds; an example of a geometry that involves Riemannian manifolds.
    • Riemannian geometry was introduced by Riemann in 1854 as the n-dimensional generalization of the theory of curved surfaces of the 3D Euclidean space.2001, Miklós Farkas, Dynamical Models in Biology, page 171
    • Such geometries are called Riemannian geometries; they are characterized by invariant distances (for example, the space-time interval) that depend at most on the squares of the coordinate distances (∆x or ∆t).2005, John F. Hawley, Katherine A. Holcomb, Foundations of Modern Cosmology, 2nd edition, page 235
  2. (usually) The geometry of elliptical and spherical shapes.

Riemannian geometry meaning in Tamil

Riemannian geometry in Tamil

இரேமன்கேத்திரகணிதம்

Synonyms of Riemannian geometry

Forms of Riemannian geometry

pluralRiemannian geometries

Origin of Riemannian geometry

From Riemannian + geometry, after German mathematician Bernhard Riemann.

Questions about Riemannian geometry

What does Riemannian geometry mean?
Riemannian geometry means the branch of differential geometry that concerns Riemannian manifolds; an example of a geometry that involves Riemannian manifolds.
What is Riemannian geometry in Tamil?
Riemannian geometry in Tamil is இரேமன்கேத்திரகணிதம். See Riemannian geometry meaning in Tamil.
What part of speech is Riemannian geometry?
Riemannian geometry is a noun.
What is the plural of Riemannian geometry?
The plural of Riemannian geometry is Riemannian geometries.

Words near Riemannian geometry in the dictionary

  1. Riemann-Stieltjes integral
  2. Riemann-Stieltjes integrals
  3. Riemannean
  4. riemannian
  5. Riemannian geometries
  6. Riemannian geometry
  7. Riemannian manifold
  8. Riemannian manifolds
  9. Riemannians
  10. Riemans
  11. Riemenschneider

Source and license

Adapted from Wiktionary: Riemannian geometry (page history and authors); riemannian geometry (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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Cite this entry: “Riemannian geometry.” Word.ws, https://word.ws/riemannian_geometry. Based on Wiktionary, CC BY-SA 4.0.