English

Horocyclic trajectories in hyperbolic solenoidal surfaces of finite type

Dynamical Systems 2026-01-29 v2

Abstract

We study the dynamical properties of the laminated horocycle flow on the unit tangent bundles of 2-dimensional smooth solenoidal manifolds of finite type. These laminations are the analog of complete hyperbolic surfaces of finite area.

Keywords

Cite

@article{arxiv.2411.18418,
  title  = {Horocyclic trajectories in hyperbolic solenoidal surfaces of finite type},
  author = {Fernando Alcalde Cuesta and Álvaro Carballido Costas and Matilde Martínez and Alberto Verjovsky},
  journal= {arXiv preprint arXiv:2411.18418},
  year   = {2026}
}

Comments

32 pages, 2 figures