Lorentzian 3-manifolds and dynamical systems
Frances, Charles1
1 IRMA 7 rue René Descartes 67000 Strasbourg (France)
Séminaire de théorie spectrale et géométrie, Tome 34 (2016-2017), pp. 1-32.

The following article aims at presenting classical aspects of dynamical systems preserving a geometric structure, focusing on 3-dimensional Lorentzian dynamics. The reader won’t find here any new result, but rather an expository approach of classical ones. Our main goal, in particular, is to introduce part of the techniques and arguments used in [7] to obtain the classification of closed 3-dimensional Lorentzian manifolds admitting a non-compact isometry group. Doing so, we will present a self-contained, and somehow shortened proof of Zeghib’s classification [24] of non-equicontinuous Lorentzian isometric flows in dimension 3.

DOI : 10.5802/tsg.353
Frances, Charles 1

1 IRMA 7 rue René Descartes 67000 Strasbourg (France) 
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Frances, Charles. Lorentzian $3$-manifolds and dynamical systems. Séminaire de théorie spectrale et géométrie, Tome 34 (2016-2017), pp. 1-32. doi : 10.5802/tsg.353. http://archive.numdam.org/articles/10.5802/tsg.353/

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