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Affine structure on Weil bundles

Published online by Cambridge University Press:  22 January 2016

Ivan Kolář
Ivan Kolář*
Affiliation:
Department of Algebra and Geometry, Masaryk University, Janáćkovo nám. 2a, 662 95 Brno, Czechia, kolar@math.muni.cz
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Abstract

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For every r-th order Weil functor TA, we introduce the underlying k-th order Weil functors We deduce that is an affine bundle for every manifold M. Generalizing the classical concept of contact element by C. Ehresmann, we define the bundle of contact elements of type A on M and we describe some affine properties of this bundle.

Keywords

58A20
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 158 , December 2000 , pp. 99 - 106
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2000

References

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