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

2014/02/25 by Cristian Ida, Ida, Cristian, Paul Popescu +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1402.6099

arxiv created 2014/02/25 · arxiv updated 2014/02/26

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 TM associated to a Finsler space (M,F) and of its L-dual which is a Cartan space (M,K) and we define three Liouville distributions on TM 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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