Volume 17, Issue 4 (IJES 2006)                   IJIEPR 2006, 17(4): 81-85 | Back to browse issues page

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Nadjafikhah M, Salimi Moghaddam H R. The Lie Algebra of Smooth Sections of a T-bundle . IJIEPR 2006; 17 (4) :81-85
URL: http://ijiepr.iust.ac.ir/article-1-120-en.html
The Lie Algebra of Smooth Sections of a T-bundle
M. Nadjafikhah 1, H. R. Salimi Moghaddam
1- , m_nadjafikhah@iust.ac.ir
Abstract:   (7107 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
Full-Text [PDF 62 kb]   (2061 Downloads)    
Type of Study: Research | Subject: Material Managment
Received: 2010/07/19 | Published: 2006/11/15
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