  We continue our study of the space of geodesics of a manifold with linear
connection. We obtain sufficient conditions for a product to have a space of
geodesics which is a manifold. We investigate the relationship of the space of
geodesics of a covering manifold to that of the base space. We obtain
sufficient conditions for a space to be geodesically connected in terms of the
topology of its space of geodesics. We find the space of geodesics of an
$n$-dimensional Hadamard manifold is the same as that of $\R^n$.
