Difference between revisions of "Riemann-Christoffel tensor"
From Encyclopedia of Mathematics
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| − | A four-valent tensor whose coordinates (components) are defined by the objects | + | {{TEX|done}} |
| + | A four-valent tensor whose coordinates (components) are defined by the objects $\Gamma_{ij}^{-k}$ of the connection of the space, which are called the Christoffel symbols (cf. [[Christoffel symbol|Christoffel symbol]]) of the second kind. A Riemann–Christoffel tensor is also known as a Riemann tensor. See [[Riemann tensor|Riemann tensor]]. | ||
Latest revision as of 21:18, 11 April 2014
A four-valent tensor whose coordinates (components) are defined by the objects $\Gamma_{ij}^{-k}$ of the connection of the space, which are called the Christoffel symbols (cf. Christoffel symbol) of the second kind. A Riemann–Christoffel tensor is also known as a Riemann tensor. See Riemann tensor.
How to Cite This Entry:
Riemann-Christoffel tensor. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Riemann-Christoffel_tensor&oldid=31575
Riemann-Christoffel tensor. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Riemann-Christoffel_tensor&oldid=31575
This article was adapted from an original article by L.A. Sidorov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article