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arXiv · 1402.6099

Vertical Liouville foliations on the big-tangent manifold of a Finsler space

Cristian Ida·Paul Popescu
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Abstract

The present paper unifies some aspects concerning the vertical Liouville distributions on the tangent (cotangent) bundle of a Finsler (Cartan) space in the context of generalized geometry. More exactly, we consider the big-tangent manifold $\mathcal{T}M$ associated to a Finsler space $(M,F)$ and of its $\mathcal{L}$-dual which is a Cartan space $(M,K)$ and we define three Liouville distributions on $\mathcal{T}M$ which are integrable. We also find geometric properties of both leaves of Liouville distribution and the vertical distribution in our context.

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Cristian Ida, Paul Popescu. 2014-02-25. Vertical Liouville foliations on the big-tangent manifold of a Finsler space. https://arxiv.org/abs/1402.6099

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