The Lie Algebra of Smooth Sections of a T-bundle
Publish place: International Journal of Industrial Engineering & Production Research، Vol: 17، Issue: 4
Publish Year: 1385
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJIEPR-17-4_005
تاریخ نمایه سازی: 7 شهریور 1393
Abstract:
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 canonicalgeneralization 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 oftangent bundles this Lie algebra coincides with the Lie algebra of vector fields.
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Authors
M. Nadjafikhah
is with the Department of Mathematics, Iran University of Science and Technology
H. R. Salimi Moghaddam
is a PhD student at the same Department. Iran University of Science and Technology