TY - JOUR
T1 - The Lie Algebra of Smooth Sections of a T-bundle
TT -
JF - IUST
JO - IUST
VL - 17
IS - 4
UR - http://ijiepr.iust.ac.ir/article-1-120-en.html
Y1 - 2006
SP - 81
EP - 85
KW - Vector bundle
KW - Lie theory
N2 - 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.
M3
ER -