  We establish a mixed-norm Strichartz type estimate for the wave equation on
Riemannian manifolds $(\Omega,g)$, for the case that $\Omega$ is the exterior
of a smooth, normally hyperbolic trapped obstacle in $n$ dimensional Euclidean
space, and $n$ is a positive odd integer. As for the normally hyperbolic
trapped obstacles, we will some loss of derivatives for data in the local
energy decay estimate. Hence the global Strichartz estimate has a derivative
loss. However, we can show that the forcing term is bounded by the sum of no
more than two Lebesgue $(p,q)$ mixed norms.
