Riemannianadj.

Brit.

/riːˈmanɪən/, U.S.

/riˈmæniən/

Origin: From a proper name, combined with an English element. Etymons: proper name Riemann , -ian suffix.

Etymology: < the name of Georg Friedrich Bernhard Riemann (see Riemann n.) + -ian suffix. Compare French riemannien (end of the 19th cent.).

Mathematics.

Developed by or associated with Riemann; spec. designating a differential non-Euclidean geometry based on the postulate that in a plane every pair of lines intersects (as contrasted with the parallel postulate of Euclidean geometry), used for describing the curvature of space–time in general relativity theory, where the curvature varies from one point to another (cf. Lobachevskian adj.).

ΘΚΠ

the world > relative properties > number > geometry > [adjective] > branches of

stereometrical1656

Apollonian1704

Euclidean1714

isoperimetrical1743

stereotomical1828

stereotomic1860

stereometric1862

graphic1865

parabolic1872

metageometrical1882

pangeometrical1882

Riemannian1889

synthetic1889

polygonometric1890

Lobachevskian1896

topological1913

1889 Nature 9 May 37/2 Through the latter equations z₁ and z₂ are identified as particular cases of the Riemannian P-function.

1896 G. B. Halsted in In Memoriam N. I. Lobatchevskii (1897) 24 Considered as subjective systems, the Lobachevskian, Euclidean, and Riemannian geometries are equally true.

1920 A. S. Eddington Space, Time & Gravitation xii. 183 The world became non-Euclidean; a new geometry called Riemannian geometry was adopted.

1926 L. P. Eisenhart Riemannian Geom. ii. 35 The metric defined..is called the Riemannian metric and a geometry based upon such a metric is called a Riemannian geometry. Also we say that the space whose geometry is based upon such a metric is called a Riemannian space.

1964 S. F. Barker Philos. Math. iii. 37 The development of Lobachevskian and of Riemannian geometries came as something of revolutionary intellectual significance.

2006 New Yorker 28 Aug. 54/2 Among the audience..were John Ball, Andrew Wiles, John Forbes Nash, Jr. who had proved the Riemannian embedding theorem, and John Conway.

This entry has been updated (OED Third Edition, June 2010; most recently modified version published online March 2022).

单词	riemannian
释义	Riemannianadj. Brit. /riːˈmanɪən/, U.S. /riˈmæniən/ Origin: From a proper name, combined with an English element. Etymons: proper name Riemann , -ian suffix. Etymology: < the name of Georg Friedrich Bernhard Riemann (see Riemann n.) + -ian suffix. Compare French riemannien (end of the 19th cent.). Mathematics. Developed by or associated with Riemann; spec. designating a differential non-Euclidean geometry based on the postulate that in a plane every pair of lines intersects (as contrasted with the parallel postulate of Euclidean geometry), used for describing the curvature of space–time in general relativity theory, where the curvature varies from one point to another (cf. Lobachevskian adj.). ΘΚΠ the world > relative properties > number > geometry > [adjective] > branches of stereometrical1656 Apollonian1704 Euclidean1714 isoperimetrical1743 stereotomical1828 stereotomic1860 stereometric1862 graphic1865 parabolic1872 metageometrical1882 pangeometrical1882 Riemannian1889 synthetic1889 polygonometric1890 Lobachevskian1896 topological1913 1889 Nature 9 May 37/2 Through the latter equations z₁ and z₂ are identified as particular cases of the Riemannian P-function. 1896 G. B. Halsted in In Memoriam N. I. Lobatchevskii (1897) 24 Considered as subjective systems, the Lobachevskian, Euclidean, and Riemannian geometries are equally true. 1920 A. S. Eddington Space, Time & Gravitation xii. 183 The world became non-Euclidean; a new geometry called Riemannian geometry was adopted. 1926 L. P. Eisenhart Riemannian Geom. ii. 35 The metric defined..is called the Riemannian metric and a geometry based upon such a metric is called a Riemannian geometry. Also we say that the space whose geometry is based upon such a metric is called a Riemannian space. 1964 S. F. Barker Philos. Math. iii. 37 The development of Lobachevskian and of Riemannian geometries came as something of revolutionary intellectual significance. 2006 New Yorker 28 Aug. 54/2 Among the audience..were John Ball, Andrew Wiles, John Forbes Nash, Jr. who had proved the Riemannian embedding theorem, and John Conway. This entry has been updated (OED Third Edition, June 2010; most recently modified version published online March 2022). < adj.1889
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