  In this paper we study global-in-time, weighted Strichartz estimates for the
Dirac equation on warped product spaces in dimension $n\geq3$. In particular,
we prove estimates for the dynamics restricted to eigenspaces of the Dirac
operator on the compact spin manifolds defining the ambient manifold under some
explicit sufficient condition on the metric, and estimates with loss of angular
derivatives for general initial data in the setting of spherically symmetric
and asymptotically flat manifolds.
