Riemann–Christoffel tensorn.

Brit.

/ˌriːmənˌkrɪstɒfəl ˈtɛnsə/, U.S.

/ˌrimənˌkrɪstɑfəl ˈtɛnsər/,

/ˌrimənˌkrɪstɑfəl ˈtɛnsɔr/

Origin: From proper names, combined with an English element. Etymons: proper names Riemann , Christoffel , tensor n.

Etymology: < the name of Georg Friedrich Bernhard Riemann (see Riemann n.) + the name of Erwin Bruno Christoffel (1829–1900), German mathematician + tensor n.

Mathematics.

A fourth-order tensor for expressing the curvature of a Riemann space, vanishing under the condition that space is flat. Also Riemann–Christoffel curvature tensor.

ΘΚΠ

the world > relative properties > number > mathematical number or quantity > tensor > [noun]

Riemann–Christoffel tensor1916

tensor1916

Riemann tensor1922

Ricci tensor1923

Riemann curvature tensor1923

1916 Sci. Abstr. A. 19 316 The formation of tensors by differentiation is shown, and a special sub-section is devoted to the Riemann-Christoffel tensor.

1918 A. S. Eddington Rep. Relativity Theory Gravitation iii. 40 The required equations of the law of gravitation must, therefore, include the vanishing of the Riemann–Christoffel tensor as a special case.

1943 Trans. Amer. Inst. Electr. Engineers 62 27/1 The Riemann–Christoffel curvature tensor kαβγδ.

1956 G. C. McVittie Gen. Relativity & Cosmol. ii. 30 The Ricci tensor..is obtained by contraction from the Riemann–Christoffel tensor.

1974 Encycl. Brit. Micropædia VIII. 580/2 The Riemannian curvature is obtained by first contracting the Riemann–Christoffel curvature tensor.

2001 S. Kaufman tr. J. C. Pecker Understanding Heavens viii. 832 The distribution of curvature in space-time is described by another tensor, the Riemann-Christoffel tensor..or in its condensed form, the Ricci tensor.

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

单词	riemann–christoffel tensor
释义	Riemann–Christoffel tensorn. Brit. /ˌriːmənˌkrɪstɒfəl ˈtɛnsə/, U.S. /ˌrimənˌkrɪstɑfəl ˈtɛnsər/, /ˌrimənˌkrɪstɑfəl ˈtɛnsɔr/ Origin: From proper names, combined with an English element. Etymons: proper names Riemann , Christoffel , tensor n. Etymology: < the name of Georg Friedrich Bernhard Riemann (see Riemann n.) + the name of Erwin Bruno Christoffel (1829–1900), German mathematician + tensor n. Mathematics. A fourth-order tensor for expressing the curvature of a Riemann space, vanishing under the condition that space is flat. Also Riemann–Christoffel curvature tensor. ΘΚΠ the world > relative properties > number > mathematical number or quantity > tensor > [noun] Riemann–Christoffel tensor1916 tensor1916 Riemann tensor1922 Ricci tensor1923 Riemann curvature tensor1923 1916 Sci. Abstr. A. 19 316 The formation of tensors by differentiation is shown, and a special sub-section is devoted to the Riemann-Christoffel tensor. 1918 A. S. Eddington Rep. Relativity Theory Gravitation iii. 40 The required equations of the law of gravitation must, therefore, include the vanishing of the Riemann–Christoffel tensor as a special case. 1943 Trans. Amer. Inst. Electr. Engineers 62 27/1 The Riemann–Christoffel curvature tensor kαβγδ. 1956 G. C. McVittie Gen. Relativity & Cosmol. ii. 30 The Ricci tensor..is obtained by contraction from the Riemann–Christoffel tensor. 1974 Encycl. Brit. Micropædia VIII. 580/2 The Riemannian curvature is obtained by first contracting the Riemann–Christoffel curvature tensor. 2001 S. Kaufman tr. J. C. Pecker Understanding Heavens viii. 832 The distribution of curvature in space-time is described by another tensor, the Riemann-Christoffel tensor..or in its condensed form, the Ricci tensor. This entry has been updated (OED Third Edition, June 2010; most recently modified version published online March 2022). < n.1916
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