A Family of Complex Kleinian Split Solvable Groups

Abstract

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 a minimal limit set for the action of these lattices on the N dimensional complex projective space and that there are exactly two maximal discontinuity regions.

arXiv comment12 pages