Function: riemann (<dis>) A function in the
ctensor (component tensor) package.
riemann computes the Riemann curvature tensor from the given metric and the corresponding Christoffel symbols. The following index conventions are used:
l _l _l _l _m _l _m R[i,j,k,l] = R = | - | + | | - | | ijk ij,k ik,j mk ij mj ik
This notation is consistent with the notation used by the
itensor package and its
icurvature function. If the optional argument <dis> is
true, the non-zero components
riem[i,j,k,l] will be displayed. As with the Einstein tensor, various switches set by the user control the simplification of the components of the Riemann tensor. If
true, then rational simplification will be done. If
true then each of the components will also be factored.
If the variable
false, the Riemann tensor is computed directly from the Christoffel-symbols. If
true, the covariant Riemann-tensor is computed first from the frame field coefficients.
There are also some inexact matches for
?? riemann to see them.
(%o1) true (%i2)