Translator Disclaimer
2000 Affine structure on Weil bundles
Ivan Kolář
Nagoya Math. J. 158: 99-106 (2000).

Abstract

For every $r$-th order Weil functor $T^{A}$, we introduce the underlying $k$-th order Weil functors $T^{A_{k}}$, $k = 1, \ldots, r-1$. We deduce that $T^{A}M \to T^{A_{r-1}} M$ is an affine bundle for every manifold $M$. Generalizing the classical concept of contact element by C. Ehresmann, we define the bundle $\mathcal{k}T^{A}M$ of contact elements of type $A$ on $M$ and we describe some affine properties of this bundle.

Citation

Download Citation

Ivan Kolář. "Affine structure on Weil bundles." Nagoya Math. J. 158 99 - 106, 2000.

Information

Published: 2000
First available in Project Euclid: 27 April 2005

zbMATH: 0961.58002
MathSciNet: MR1766571

Subjects:
Primary: 58A32
Secondary: 58A20

Rights: Copyright © 2000 Editorial Board, Nagoya Mathematical Journal

JOURNAL ARTICLE
8 PAGES


SHARE
Vol.158 • 2000
Back to Top