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Commutation Coefficient

A coefficient which gives the difference between partial derivatives of two coordinates with respect to the other coordinate,

\begin{displaymath}
c_{\alpha\beta}^\mu \vec e_\mu = [\vec e_\alpha, \vec e_\beta] = \nabla_\alpha\vec e_\beta-\nabla_\beta \vec e_\alpha.
\end{displaymath}

See also Connection Coefficient




© 1996-9 Eric W. Weisstein
1999-05-26