Original manuscript: 2001/03/02
Manuscript last revised: 2002/07/08
Strong conditions, involving first-order symmetric products, are given for controllability of affine connection control systems. The conditions generalise, at the first-order level, earlier conditions for affine connection control systems, and involve the use of a vector-valued quadratic form as the essential ingredient in the statement of the results.
No online version avaliable (but check this out).