14 citations · 43 across the 18 of their papers we have counts for
7 papers · 1 filter
Asymptotic flag geometry of complex Kleinian groups in
Waldemar Barrera, Angel Cano, Juan Pablo Navarrete +1
We organize several natural notions of limit set for discrete subgroups of around a common asymptotic structure encoded by pseudo--projective degenerat…
Action of -Fuchsian groups on
W. Barrera, E. Montiel, J. P. Navarrete
We consider discrete subgroups of the group of orientation preserving isometries of the -dimensional hyperbolic space, whose limit set is a -dimensional real sphere, acti…
A Family of Complex Kleinian Split Solvable Groups
Waldemar Barrera, Rene Garcia, Juan Pablo Navarrete
It is shown that lattices of a family of split solvable subgroups of PSL(N + 1, C) are complex Kleinian using techniques of Lie groups and dynamical systems, also that there exists…
Discrete parabolic groups in
Waldemar Barrera, Angel Cano, Juan Pablo Navarrete +1
We study and classify the purely parabolic discrete subgroups of . This includes all discrete subgroups of the Heisenberg group . While for $…
On the number of lines in the limit set for discrete subgroups of
Waldemar Barrera, A. Cano, Juan Pablo Navarrete
Given a discret subgroup $Γ\subset PSL(3,\C)$, we determine the number of complex lines and complex lines in general position lying in the complement of: maximal regions on which $…
A 2-dimensional Complex Kleinian Group With Infinite Lines in the Limit Set Lying in General Position
Waldemar Barrera, Angel Cano, Juan Pablo Navarrete
In this article we present an example of a discrete group $Σ_\C\subset PSL(3,\Bbb{R})$ whose action on does no have invariant projective subspaces, is not conjugated to compl…
Subroups of with four lines in general position in its Limit Set
Waldemar Barrera, Angel Cano, Juan Pablo Navarrete
In this article we provide an algebraic characterization of those groups of whose limit set in the Kulkarni sense has, exactly, four lines in general position. Als…