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On the slit tangent manifold of a Finsler manifold M are given the verticaland the Liouville foliations. In this paper we define some new types ofvertical forms with respect to the Liouville foliation on TM^0. We define acohomology group of TM^0 using these new forms. We prove a de Rham typetheorem.

A de Rham theorem with respect to the Liouville foliation on TM^0, for a Finsler manifold M