A de Rham theorem with respect to the Liouville foliation on TM⁰, for a Finsler manifold M

2010/01/15 by Adelina Manea, Manea, Adelina
Mathematics · Physics and Astronomy · #53C12 #53C60 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C12 #msc:53C60

paper · pdf · doi:10.48550/arxiv.1001.2676

arxiv created 2010/01/15 · openalex publication_date 2010/01/15 · arxiv updated 2010/02/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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 TM⁰. We define a cohomology group of TM⁰ using these new forms. We prove a de Rham type theorem.

Related

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• Vertical Liouville foliations on the big-tangent manifold of a Finsler space
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• Liouville type theorems for transversally harmonic and biharmonic maps