%0 Journal Article
%A Nadjafikhah, M.
%A Salimi Moghaddam, H. R.
%T The Lie Algebra of Smooth Sections of a T-bundle
%J International Journal of Industiral Engineering & Producion Research
%V 17
%N 4
%U http://ijiepr.iust.ac.ir/article-1-120-en.html
%R
%D 2006
%K Vector bundle, Lie theory,
%X In this article, we generalize the concept of the Lie algebra of vector fields to the set of smooth sections of a T-bundle which is by definition a canonical generalization of the concept of a tangent bundle. We define a Lie bracket multiplication on this set so that it becomes a Lie algebra. In the particular case of tangent bundles this Lie algebra coincides with the Lie algebra of vector fields.
%> http://ijiepr.iust.ac.ir/article-1-120-en.pdf
%P 81-85
%& 81
%!
%9 Research
%L A-10-1-72
%+
%G eng
%@ 2008-4889
%[ 2006