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Horocyclic trajectories in hyperbolic solenoidal surfaces of finite type

  • Fernando Alcalde Cuesta

    Universidad de Santiago de Compostela, Spain

  • Álvaro Carballido Costas

    Galicia Supercomputing Center (CESGA), Santiago de Compostela, Spain

  • Matilde Martínez

    Universidad de la República, Montevideo, Uruguay

  • Alberto Verjovsky

    Universidad Nacional Autónoma de México, Morelos, Mexico
Horocyclic trajectories in hyperbolic solenoidal surfaces of finite type cover

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Abstract

We study the dynamical properties of the laminated horocycle flow on the unit tangent bundles of -dimensional smooth solenoidal manifolds of finite type. These laminations are the analogue of complete hyperbolic surfaces of finite area.

Cite this article

Fernando Alcalde Cuesta, Álvaro Carballido Costas, Matilde Martínez, Alberto Verjovsky, Horocyclic trajectories in hyperbolic solenoidal surfaces of finite type. Groups Geom. Dyn. (2026), published online first

DOI 10.4171/GGD/967