### 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].

Original language | English (US) |
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Title of host publication | Geometric Methods in Physics - 33rd Workshop, 2014 |

Editors | Piotr Kielanowski, Pierre Bieliavsky, Anatol Odzijewicz, Martin Schlichenmaier, Theodore Voronov |

Publisher | Springer International Publishing |

Pages | 49-66 |

Number of pages | 18 |

ISBN (Print) | 9783319182117 |

DOIs | |

State | Published - Jan 1 2015 |

Event | 33rd Workshop on Geometric Methods in Physics, 2014 - Bialowieza, Poland Duration: Jun 29 2014 → Jul 5 2014 |

### Publication series

Name | Trends in Mathematics |
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Volume | 71 |

ISSN (Print) | 2297-0215 |

ISSN (Electronic) | 2297-024X |

### Other

Other | 33rd Workshop on Geometric Methods in Physics, 2014 |
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Country | Poland |

City | Bialowieza |

Period | 6/29/14 → 7/5/14 |

### Keywords

- Lie groupoid
- Linearization
- Normal form

### ASJC Scopus subject areas

- Mathematics(all)

## Fingerprint Dive into the research topics of 'Normal forms and Lie groupoid theory'. Together they form a unique fingerprint.

## Cite this

Fernandes, R. L. (2015). Normal forms and Lie groupoid theory. In P. Kielanowski, P. Bieliavsky, A. Odzijewicz, M. Schlichenmaier, & T. Voronov (Eds.),

*Geometric Methods in Physics - 33rd Workshop, 2014*(pp. 49-66). (Trends in Mathematics; Vol. 71). Springer International Publishing. https://doi.org/10.1007/978-3-319-18212-4_3