  In this paper we study Strichartz estimates for the half wave, the half
Klein-Gordon and the Dirac Equations on compact manifolds without boundary,
proving in particular for each of these flows local in time estimates both for
the wave and Schroedinger admissible couples (in this latter case with an
additional loss of regularity). The strategy for the proof is based on a
refined version of the WKB approximation.
