Seminario de Sistemas Dinámicos
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Título: "Transverse foliations of T^1 S"
Expositor: Sergio Fenley (FSU-IAS)
Resumen:
This is joint work with Rafael Potrie. We study two dimensional foliations
F_1, F_2 of a 3-manifold M so that they have C^1 leaves and they are
transverse to each other. The intersection is a one dimensional foliation G,
which subfoliates leaves of F_1, F_2. This is very common, for example when
F_1, F_2 are the weak stable and unstable foliations of an Anosov flow in a
3-manifold. We assume that the leaves of F_1, F_2 are Gromov hyperbolic. There
are several properties to study. One question is when the foliation G is the
flow foliation of a topological Anosov flow. We study the particular case that
the manifold is T^1 S, the unit tangent bundle of a closed hyperbolic surface.
We show for example that if certain leaf spaces associated with G are
Hausdorff, then G is the flow foliation of an Anosov flow.
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Viernes 16/9 a las 14:30, Salón de seminarios del IMERL
Contacto: León Carvajales - lcarvajales [at] cmat.edu.uy
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Próxima semana: León Carvajales (DMC).