From the 1 of 10 linked papers with an AI index.
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Quaternionic Extensions of Hyperbolic Toral Automorphisms
Alberto Verjovsky
We construct real-analytic diffeomorphisms of \(S^3\times S^3\cong \SU(2)\times\SU(2)\) that lift hyperbolic toral automorphisms by evaluating Nielsen automorphisms of the free gro…
Holomorphic Linear $\C^k$-Actions, Trace Foliations, and Higher-Rank Poincaré Dynamics
Aubin Arroyo, Carlos Cabrera, José Seade +1
We study the orbit decomposition on $\C^n$ generated by diagonal holomorphic $\C^k$-actions in the higher-rank setting of the classical Poincaré--Siegel dichotomy for linear vecto…
Mostow rigidity for skew solenoidal manifolds
Fernando Alcalde Cuesta, Matilde MartÃnez, Alberto Verjovsky
We prove a Mostow rigidity theorem for foliated bundles over closed hyperbolic manifolds of dimension endowed with a completely invariant measure of full support. These…
Horocyclic trajectories in hyperbolic solenoidal surfaces of finite type
Fernando Alcalde Cuesta, Ãlvaro Carballido Costas, Matilde MartÃnez +1
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…