Considérons une homéomorphisme sans points fixes sur la bande fermé 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 .
We consider a fixed point free homeomorphism of the closed band which leaves each leaf of a Reeb foliation on invariant. Assuming is the time one of various topological flows, we compare the restriction of the flows on the boundary.
Keywords: Reeb foliations, homeomorphisms, topological conjugacy
Mot clés : feuilletages de Reeb, homéomorphismes, conjugaisons topologiques
@article{AIF_2012__62_3_887_0, author = {Matsumoto, Shigenori}, title = {Flows of flowable {Reeb} homeomorphisms}, journal = {Annales de l'Institut Fourier}, pages = {887--897}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {62}, number = {3}, year = {2012}, doi = {10.5802/aif.2711}, mrnumber = {3013811}, zbl = {1350.37049}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.2711/} }
TY - JOUR AU - Matsumoto, Shigenori TI - Flows of flowable Reeb homeomorphisms JO - Annales de l'Institut Fourier PY - 2012 SP - 887 EP - 897 VL - 62 IS - 3 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.2711/ DO - 10.5802/aif.2711 LA - en ID - AIF_2012__62_3_887_0 ER -
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. http://www.numdam.org/articles/10.5802/aif.2711/
[1] Beweis des Ebenen Translationssatzes, Math. Ann., Volume 72 (1912) no. 1, pp. 37-54 | DOI | EuDML | JFM | MR
[2] Ensemble oscillant d’un homéomorphisme de Brouwer, homéomorphismes de Reeb, Bull. Soc. Math. France, Volume 131 (2003) no. 2, pp. 149-210 | EuDML | Numdam | MR | Zbl
[3] Sur le groupe des transformations topologiques du plan, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (2), Volume 3 (1934) no. 3-4, pp. 393-400 | EuDML | JFM | Numdam | MR | Zbl
[4] An orbit closing proof of Brouwer’s lemma on translation arcs, Enseign. Math. (2), Volume 33 (1987) no. 3-4, pp. 315-322 | MR | Zbl
[5] A new proof of the Brouwer plane translation theorem, Ergodic Theory Dynam. Systems, Volume 12 (1992) no. 2, pp. 217-226 | DOI | MR | Zbl
[6] Théorème de translation plane de Brouwer et généralisations du théorème de Poincaré-Birkhoff, Topology, Volume 33 (1994) no. 2, pp. 331-351 | DOI | MR | Zbl
[7] Variétés (non séparées) à une dimension et structures feuilletées du plan, Enseignement Math. (2), Volume 3 (1957), pp. 107-125 | MR | Zbl
[8] On the structure of the plane translation of Brouwer, Osaka Math. J., Volume 5 (1953), pp. 233-266 | MR | Zbl
[9] Flowability of plane homeomorphisms (Preprints in Arxiv)
[10] Classes de conjugaison des flots du plan topologiquement équivalents au flot de Reeb, C. R. Acad. Sci. Paris Sér. I Math., Volume 328 (1999) no. 1, pp. 45-50 | DOI | MR | Zbl
[11] A non-flowable plane homeomorphism whose non-Hausdorff set consists of two disjoint lines, Houston J. Math., Volume 21 (1995) no. 3, pp. 569-572 | MR | Zbl
Cité par Sources :