Volume no :15, Issue no: 1, May 2012

Journal of Mathematical Sciences: Advances and Applications

TANGENT LIFT OF HIGHER ORDER OF MULTIVECTOR FIELDS AND APPLICATIONS

Author's: P. M. KOUOTCHOP WAMBA, A. NTYAM and J. WOUAFO KAMGA
Pages: [13] - [36]
Received Date: March 29, 2012
Submitted by:

Abstract

Let M be a smooth manifold of dimension In [3], the author’s studied the tangent lift of multivector fields of M on TM and give some applications to the theory of Poisson structures and symplectic foliations. In this paper, we generalize this lifting to tangent functors of higher order.

Keywords

generalized foliations, Poisson manifold, Lie algebroid, prolongation of vector fields, prolongation of differential forms, bundle functor, natural transformations.