Intersection of transverse foliations in 3-manifolds : Hausdorff leafspace implies leafwise quasi-geodesic
Resumen:
Let F1 and F2 be transverse two dimensional foliations with Gromov hyperbolic leaves in a closed 3-manifold M whose fundamental group is not solvable, and let G be the one dimensional foliation obtained by intersection. We show that G is \emph{leafwise quasigeodesic} in F1 and F2 if and only if the foliation GL induced by G in the universal cover L of any leaf of F1 or F2 has Hausdorff leaf space. We end up with a discussion on the hypothesis of Gromov hyperbolicity of the leaves.
| 2025 | |
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GEOMETRIC TOPOLOGY DIFFERENTIAL GEOMETRY DYNAMICAL SYSTEMS QUASI GEODESIC FLOWS 3-MANIFOLDS FOLIATIONS |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/54754 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
