Geodesic
Flows of flowable Reeb homeomorphisms
[Flots des homéomorphismes de Reeb flowables]
Matsumoto, Shigenori1 
1 Nihon University Department of Mathematics College of Science and Technology 1-8-14 Kanda, Surugadai, Chiyoda-ku Tokyo, 101-8308 (Japan)
Annales de l'Institut Fourier, Tome 62 (2012) no. 3, pp. 887-897

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We consider a fixed point free homeomorphism h of the closed band B=ℝ×[0,1] which leaves each leaf of a Reeb foliation on B invariant. Assuming h is the time one of various topological flows, we compare the restriction of the flows on the boundary.

Considérons une homéomorphisme sans points fixes sur la bande fermé B=ℝ×[0,1] qui laisse un feuilletage de Reeb invariant et qui est le temps un des flots topologiques. Nous comparons les restrictions de plusieurs tels flots au bord de B.

DOI : 10.5802/aif.2711
Classification : 37E30
Keywords: Reeb foliations, homeomorphisms, topological conjugacy
Mots-clés : feuilletages de Reeb, homéomorphismes, conjugaisons topologiques

Matsumoto, Shigenori 1

1 Nihon University Department of Mathematics College of Science and Technology 1-8-14 Kanda, Surugadai, Chiyoda-ku Tokyo, 101-8308 (Japan) 
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     title = {Flows of flowable {Reeb} homeomorphisms},
     journal = {Annales de l'Institut Fourier},
     pages = {887--897},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
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Matsumoto, Shigenori. Flows of flowable Reeb homeomorphisms. Annales de l'Institut Fourier, Tome 62 (2012) no. 3, pp. 887-897. doi: 10.5802/aif.2711

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