# Reductive G-structures and Lie derivatives

@article{Godina2003ReductiveGA,
title={Reductive G-structures and Lie derivatives},
author={Marco Godina and Paolo Matteucci},
journal={Journal of Geometry and Physics},
year={2003},
volume={47},
pages={66-86}
}
• Published 24 January 2002
• Mathematics, Physics
• Journal of Geometry and Physics
Abstract Reductive G -structures on a principal bundle Q are considered. It is shown that these structures, i.e. reductive G -subbundles P of Q , admit a canonical decomposition of the pull-back vector bundle i P ∗ (TQ)≡P× Q TQ over P . For classical G -structures, i.e. reductive G -subbundles of the linear frame bundle, such a decomposition defines an infinitesimal canonical lift. This lift extends to a prolongation Γ -structure on P . In this general geometric framework the theory of Lie… Expand
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