  In this paper we first derive solutions which can be interpreted as branes
wrapping nontrivial curved manifolds, and then study their cosmological
implications. We find that at early times the branes tend to shrink the
internal manifold, while allowing the ``unwrapped'' dimensions to expand in
congruence with what has already been observed in the case when the internal
manifold is flat (tori). However, at late times the internal curvature terms
become important leading to potentially interesting differences.
