Is there another convention for the Riemann curvature tensor than the one I know:
$R^a_{d c b} =d x_a (R( \partial_c, \partial_b) \partial_d)$ ?
Because I have the following "notation" in a paper:
$R^{\ \ \ a}_{dcb}$
and from my calculation this should be $R^{\ \ \ a}_{cbd}$.