The group structure for jet bundles over Lie groups

Cornelia Vizman

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arXiv · 1304.5024

The group structure for jet bundles over Lie groups

Cornelia Vizman

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Abstract

The jet bundle $J^kG$ of $k$-jets of curves in a Lie group $G$ has a natural Lie group structure. We present an explicit formula for the group multiplication in the right trivialization and for the group 2-cocycle describing the abelian Lie group extension $\mathfrak{g}\to J^{k}G\to J^{k-1}G$.

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Cornelia Vizman. 2013-04-18. The group structure for jet bundles over Lie groups. https://arxiv.org/abs/1304.5024

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