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http://dx.doi.org/10.14403/jcms.2013.26.4.793

TORSION TENSOR FORMS ON INDUCED BUNDLES  

Kim, Hyun Woong (Department of Applied Mathematics Pukyong National University)
Park, Joon-Sik (Department of Mathematics Pusan University of Foreign Studies)
Pyo, Yong-Soo (Department of Applied Mathematics Pukyong National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.26, no.4, 2013 , pp. 793-798 More about this Journal
Abstract
Let ${\phi}$ be a map of a manifold M into another manifold N, L(N) the bundle of all linear frames over N, and ${\phi}^{-1}$(L(N)) the bundle over M which is induced from ${\phi}$ and L(N). Then, we construct a structure equation for the torsion form in ${\phi}^{-1}$(L(N)) which is induced from a torsion form in L(N).
Keywords
torsion tensor form; principal fibre bundle; connection form; canonical form; structure equation;
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Times Cited By KSCI : 1  (Citation Analysis)
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