no. 2
Flowability of plane homeomorphisms
[Plongement d’un homéomorphisme du plan dans un flot]
Le Roux, Frédéric1 ; O’Farrell, Anthony G.2 ; Roginskaya, Maria3 ; Short, Ian4
1 Université Paris Sud, Laboratoire de mathématiques, Bat. 425, 91405 Orsay Cedex, France
2 National Univeristy of Ireland Maynooth, Department of Mathematics, Logic House, Maynooth, County Kildare, Ireland
3 Chalmers University of Technology, Department of Mathematics, S-412 96 Gőteborg, Sweden
4 The Open University, Department of Mathematics and Statistics, Milton Keynes, MK7 6AA, United Kingdom
Annales de l'Institut Fourier, Tome 62 (2012) no. 2, pp. 619-639.

Nous considérons les homéomorphismes h du plan, sans point fixe, et préservant le feuilletage de Reeb. Nous décrivons des conditions nécessaires et suffisantes pour que h soit le temps un d’un flot dont les trajectoires sont les feuilles du feuilletage de Reeb.

We describe necessary and sufficient conditions for a fixed point free planar homeomorphism that preserves the standard Reeb foliation to embed in a planar flow that leaves the foliation invariant.

DOI : 10.5802/aif.2689
Classification : 37E30, 37E35
Keywords: Brouwer homeomorphism, flow, foliation, homeomorphism, plane, Reeb component.
Mot clés : Homéomorphisme de Brouwer, flot, feuilletage, homéomorphisme, plan, composante de Reeb.

Le Roux, Frédéric 1 ; O’Farrell, Anthony G. 2 ; Roginskaya, Maria 3 ; Short, Ian 4

1 Université Paris Sud, Laboratoire de mathématiques, Bat. 425, 91405 Orsay Cedex, France
2 National Univeristy of Ireland Maynooth, Department of Mathematics, Logic House, Maynooth, County Kildare, Ireland
3 Chalmers University of Technology, Department of Mathematics, S-412 96 Gőteborg, Sweden
4 The Open University, Department of Mathematics and Statistics, Milton Keynes, MK7 6AA, United Kingdom 
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Le Roux, Frédéric; O’Farrell, Anthony G.; Roginskaya, Maria; Short, Ian. Flowability of plane homeomorphisms. Annales de l'Institut Fourier, Tome 62 (2012) no. 2, pp. 619-639. doi : 10.5802/aif.2689. https://aif.centre-mersenne.org/articles/10.5802/aif.2689/

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