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Normal Forms and Lie Groupoid Theory

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Geometric Methods in Physics

Part of the book series: Trends in Mathematics ((TM))

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Abstract

In these lectures I discuss the Linearization Theorem for Lie groupoids, and its relation to the various classical linearization theorems for submersions, foliations and group actions. In particular, I explain in some detail the recent metric approach to this problem proposed in [6].

Mathematics Subject Classification (2010). Primary 53D17; Secondary 22A22

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Correspondence to Rui Loja Fernandes .

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© 2015 Springer International Publishing Switzerland

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Fernandes, R.L. (2015). Normal Forms and Lie Groupoid Theory. In: Kielanowski, P., Bieliavsky, P., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-18212-4_3

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