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Classification of Principal Connections on \({\widetilde{W}}^2PE\)

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 85))

Abstract

We assume a vector bundle \(E\rightarrow M\) and the principal bundle PE of frames of \(E\). Let \(K\) be a general linear connection on \(E\) and \(\varLambda \) be a linear connection on \(M\). We classify all connections on \({\widetilde{W}}^2PE\) naturally given by \(K\) and \(\varLambda \).

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Acknowledgments

This research has been supported by the Grant agency of the Czech Republic under the project 201/09/0981.

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Correspondence to Jan Vondra .

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Vondra, J. (2014). Classification of Principal Connections on \({\widetilde{W}}^2PE\) . In: Makhlouf, A., Paal, E., Silvestrov, S., Stolin, A. (eds) Algebra, Geometry and Mathematical Physics. Springer Proceedings in Mathematics & Statistics, vol 85. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55361-5_25

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