Ricci tensorn.

Brit.

/ˈriːtʃɪ ˌtɛnsə/, U.S.

/ˈritʃi ˌtɛnsər/,

/ˈritʃi ˌtɛnˌsɔr/

Origin: From a proper name, combined with an English element. Etymons: proper name Ricci , tensor n.

Etymology: < the name of Gregorio Ricci-Curbastro (1853–1925), Italian mathematician + tensor n. (see quot. 1923).

Mathematics.

A symmetrical second-order tensor used in describing the curvature of space–time, obtained by contracting the Riemann–Christoffel tensor.

ΘΚΠ

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

Riemann–Christoffel tensor1916

tensor1916

Riemann tensor1922

Ricci tensor1923

Riemann curvature tensor1923

1923 O. Veblen & T. Y. Thomas in Trans. Amer. Math. Soc. 25 554 This we shall call the Ricci tensor because it reduces to the tensor studied by Ricci for the case of the Riemann geometry.

1967 E. U. Condon & H. Odishaw Handbk. Physics (ed. 2) ii. vi. 50/1 The vanishing of the Ricci tensor does not imply the vanishing of the Riemann–Christoffel tensor.

1974 Nature 5 Apr. 472/1 The precise mathematical quantity which describes the curvature of space–time is known as the Ricci tensor R_jk, which is a 4 × 4 array of numbers defined at each point of space–time.

2007 M. Camenzind Compact Objects in Astrophysics iv. 125 Since this technique is the basic one, when we are dealing with rotating objects, we use it also here to calculate the Ricci tensor.

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

单词	ricci tensor
释义	Ricci tensorn. Brit. /ˈriːtʃɪ ˌtɛnsə/, U.S. /ˈritʃi ˌtɛnsər/, /ˈritʃi ˌtɛnˌsɔr/ Origin: From a proper name, combined with an English element. Etymons: proper name Ricci , tensor n. Etymology: < the name of Gregorio Ricci-Curbastro (1853–1925), Italian mathematician + tensor n. (see quot. 1923). Mathematics. A symmetrical second-order tensor used in describing the curvature of space–time, obtained by contracting the Riemann–Christoffel tensor. ΘΚΠ the world > relative properties > number > mathematical number or quantity > tensor > [noun] Riemann–Christoffel tensor1916 tensor1916 Riemann tensor1922 Ricci tensor1923 Riemann curvature tensor1923 1923 O. Veblen & T. Y. Thomas in Trans. Amer. Math. Soc. 25 554 This we shall call the Ricci tensor because it reduces to the tensor studied by Ricci for the case of the Riemann geometry. 1967 E. U. Condon & H. Odishaw Handbk. Physics (ed. 2) ii. vi. 50/1 The vanishing of the Ricci tensor does not imply the vanishing of the Riemann–Christoffel tensor. 1974 Nature 5 Apr. 472/1 The precise mathematical quantity which describes the curvature of space–time is known as the Ricci tensor R_jk, which is a 4 × 4 array of numbers defined at each point of space–time. 2007 M. Camenzind Compact Objects in Astrophysics iv. 125 Since this technique is the basic one, when we are dealing with rotating objects, we use it also here to calculate the Ricci tensor. This entry has been updated (OED Third Edition, June 2010; most recently modified version published online March 2022). < n.1923
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