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Riemann-Christoffel tensor

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Riemann-Christoffel tensor [′rē‚män ′kris·tə·fəl ‚ten·sər]
(mathematics)
The basic tensor used for the study of curvature of a Riemann space; it is a fourth-rank tensor, formed from Christoffel symbols and their derivatives, and its vanishing is a necessary condition for the space to be flat. Also known as curvature tensor.


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If we use these vectors, the Riemann-Christoffel tensor can be written (see also Section 4.
 
 
 
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