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arXiv · 2411.18418

Horocyclic trajectories in hyperbolic solenoidal surfaces of finite type

Fernando Alcalde Cuesta·Álvaro Carballido Costas·Matilde Martínez·Alberto Verjovsky
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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.

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Fernando Alcalde Cuesta, Álvaro Carballido Costas, Matilde Martínez, Alberto Verjovsky. 2024-11-27. Horocyclic trajectories in hyperbolic solenoidal surfaces of finite type. https://arxiv.org/abs/2411.18418

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