Riemannian geometry
Noun
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Noun
Riemannian geometry (uncountable)
- (mathematics, geometry) The branch of differential geometry that concerns Riemannian manifolds; an example of a geometry that involves Riemannian manifolds.
- 2005, John F. Hawley, Katherine A. Holcomb, Foundations of Modern Cosmology, 2nd Edition, page 235 ↗,
- 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).
- 2010, Ilka Agricola, Chapter 9: Non-integrable geometries, torsion, and holonomy, Vicente Cortés (editor), Handbook of Pseudo-Riemannian Geometry and Supersymmetry, page 278 ↗,
- At the beginning of the seventies, A. Gray generalized the classical holonomy concept by introducing a classification principle for non-integrable special Riemannian geometries [and] discovered in this context nearly Kähler manifolds in dimension six and nearly parallel G2-manifolds in dimension seven.
- 2005, John F. Hawley, Katherine A. Holcomb, Foundations of Modern Cosmology, 2nd Edition, page 235 ↗,
- German: Riemannsche Geometrie
This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.002