Minimality of the action on the universal circle of uniform foliations
Resumen:
Given a uniform foliation by Gromov hyperbolic leaves on a 3-manifold, we show that the action of the fundamental group on the universal circle is minimal and transitive on pairs of different points. We also prove two other results: we prove that general uniform Reebless foliations are R-covered and we give a new description of the universal circle of R-covered foliations with Gromov hyperbolic leaves in terms of the JSJ decomposition of M .
| 2021 | |
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CSIC: 618. ANII: FCE_1_2017_1_135352 |
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3-manifold topology Foliations Group actions. |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/34113 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| Sumario: | Given a uniform foliation by Gromov hyperbolic leaves on a 3-manifold, we show that the action of the fundamental group on the universal circle is minimal and transitive on pairs of different points. We also prove two other results: we prove that general uniform Reebless foliations are R-covered and we give a new description of the universal circle of R-covered foliations with Gromov hyperbolic leaves in terms of the JSJ decomposition of M . |
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