- non-Riemannian geometry
- Математика: нериманова геометрия
Универсальный англо-русский словарь. Академик.ру. 2011.
non-Riemannian geometry
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non-Euclidean geometry — geometry based upon one or more postulates that differ from those of Euclid, esp. from the postulate that only one line may be drawn through a given point parallel to a given line. [1870 75; NON + EUCLIDEAN] * * * Any theory of the nature of… … Universalium
Non-Euclidean geometry — Behavior of lines with a common perpendicular in each of the three types of geometry Non Euclidean geometry is the term used to refer to two specific geometries which are, loosely speaking, obtained by negating the Euclidean parallel postulate,… … Wikipedia
non-Euclidean geometry — noun (mathematics) geometry based on axioms different from Euclid s non Euclidean geometries discard or replace one or more of the Euclidean axioms • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑geometry … Useful english dictionary
Riemannian geometry — [rē män′ē ən] n. [after G. F. B. Riemann (1826 66), Ger mathematician] a form of non Euclidean geometry in which there are no parallel lines, since its figures can be conceived as constructed on a curved surface where all straight lines intersect … English World dictionary
Riemannian geometry — Elliptic geometry is also sometimes called Riemannian geometry. Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, smooth manifolds with a Riemannian metric , i.e. with an inner product on the tangent… … Wikipedia
Riemannian geometry — Geom. 1. 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. Cf. hyperbolic geometry. 2. the… … Universalium
Riemannian geometry — noun (mathematics) a non Euclidean geometry that regards space as like a sphere and a line as like a great circle Bernhard Riemann pioneered elliptic geometry • Syn: ↑elliptic geometry • Topics: ↑mathematics, ↑math, ↑maths … Useful english dictionary
Riemannian geometry — Riemann′ian geom′etry n. math. 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 • Etymology: 1915–20; after G.F.B. Riemann … From formal English to slang
Riemannian geometry — noun Etymology: G. F. B. Riemann Date: 1896 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 … New Collegiate Dictionary
Metric Structures for Riemannian and Non-Riemannian Spaces — Author(s) Misha Gromov … Wikipedia
Models of non-Euclidean geometry — are mathematical models of geometries in which are non Euclidean in the sense that it is not the case that exactly one line can be drawn parallel to a given line l through a point that is not on l. In hyperbolic geometric models, by contrast,… … Wikipedia
