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

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

2010-01-15

arxiv.org/abs/1001.2676v1

Mathematics

Differential Geometry

Scientific paper

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

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