RT - Journal Article
T1 - The Lie Algebra of Smooth Sections of a T-bundle
JF - IUST
YR - 2006
JO - IUST
VO - 17
IS - 4
UR - http://ijiepr.iust.ac.ir/article-1-120-en.html
SP - 81
EP - 85
K1 - Vector bundle
K1 - Lie theory
AB - 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.
LA eng
UL http://ijiepr.iust.ac.ir/article-1-120-en.html
M3
ER -