Volume 17, Issue 4 (IJES 2006)
IJIEPR 2006, 17(4): 81-85 |
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1- , m_nadjafikhah@iust.ac.ir
Abstract: (8234 Views)
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.
Keywords: Vector bundle, Lie theory
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