[Todos CMAT] Seminario de Sistemas Dinámicos - Sergio Fenley (Florida State University)

[seminarios en cmat.edu.uy]

Seminario de Sistemas Dinámicos
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Título: "Existence of quasigeodesic Anosov flows in hyperbolic 3-manifolds"

Expositor: Sergio Fenley (Florida State University)

Resumen:
 
A quasigeodesic in a manifold is a curve so that when lifted to the universal
cover is uniformly efficient up to a bounded multiplicative and added error in
measuring length. A flow is quasigeodesic if all flow lines are  quasigeodesics.
We prove that an Anosov flow in a closed hyperbolic manifold is quasigeodesic if
and only if it is not R-covered. Here R-covered means that the stable 2-dim
foliation of the flow, lifts to a foliation in the universal cover whose leaf
space is homeomorphic to the real numbers. There are many examples of
quasigeodesic Anosov flows in closed hyperbolic 3-manifolds. There are
consequences for the continuous extension property of Anosov foliations, and the
existence of group invariant Peano curves associated with Anosov flows.
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Viernes 1/3 a las 15:30, Salón 703 (Rojo) FING

Contacto: Santiago Martinchich y Luis Pedro Piñeyrúa - santiago.martinchich en fcea.edu.uy
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Vuelve el seminario de dinámica! Sesión doble Barbot + Fenley.

Notar que excepcionalmente este viernes comienza a las 14:00 y el salón es el
703 (Rojo).
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Más seminarios en: http://www.cmat.edu.uy/seminarios
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