  Bryant \cite{Br} proved the existence of torsion free connections with exotic
holonomy, i.e. with holonomy that does not occur on the classical list of
Berger \cite{Ber}. These connections occur on moduli spaces $\Y$ of rational
contact curves in a contact threefold $\W$. Therefore, they are naturally
contained in the moduli space $\Z$ of all rational curves in $\W$. We construct
a connection on $\Z$ whose restriction to $\Y$ is torsion free. However, the
connection on $\Z$ has torsion unless both $\Y$ and $\Z$ are flat. We also show
the existence of a new exotic holonomy which is a certain sixdimensional
representation of $\Sl \times \Sl$. We show that every regular $H_3$-connection
(cf. \cite{Br}) is the restriction of a unique connection with this holonomy.
