جلد 17، شماره 4 - ( 8-1385 )
جلد 17 شماره 4 صفحات 85-81 |
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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-fa.html
URL: http://ijiepr.iust.ac.ir/article-1-120-fa.html
The Lie Algebra of Smooth Sections of a T-bundle . نشریه بین المللی مهندسی صنایع و تحقیقات تولید. 1385; 17 (4) :81-85
چکیده: (6757 مشاهده)
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.
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