| 单词 | riemann–christoffel curvature tensor |
| 释义 | > as lemmasRiemann–Christoffel curvature tensor 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. < as lemmas |
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