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The leafwise cohomology of the weak stable foliation of the geodesic flows isvery important in the study of the space of actions whose orbit foliation isthe weak stable foliation of geodesic flows.The dimension one cohomology wascomputed by S.Matsumoto and Y.Mitsumatsu in [MM].In this article we compute thesecond dimension cohomology completing the study of the cohomology of thesefoliations.

The Cohomology Of The Weak Stable Foliation Of Geodesic Flows