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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access September 1, 2003

On the torsion of linear higher order connections

Ivan Kolář
From the journal Open Mathematics

Abstract

For a linear r-th order connection on the tangent bundle we characterize geometrically its integrability in the sense of the theory of higher order G-structures. Our main tool is a bijection between these connections and the principal connections on the r-th order frame bundle and the comparison of the torsions under both approaches.

Keywords: 53C05; 58A20

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Published Online: 2003-9-1
Published in Print: 2003-9-1

© 2003 Versita Warsaw

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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