arXiv Analytics

Sign in

arXiv:1001.5222 [math.DS]AbstractReferencesReviewsResources

Subroups of $PSL(3,\Bbb{C})$ with four lines in general position in its Limit Set

Waldemar Barrera, Angel Cano, Juan Pablo Navarrete

Published 2010-01-28, updated 2016-04-18Version 2

In this article we provide an algebraic characterization of those groups of $PSL(3,\Bbb{C})$ whose limit set in the Kulkarni sense has, exactly, four lines in general position. Also we show that, for this class of groups, the equicontinuity set of the group is the largest open set where the group acts discontinuously and agrees with the discontinuity set of the group.

Categories: math.DS, math.CV
Subjects: 32Q45
Related articles: Most relevant | Search more
arXiv:1003.0380 [math.DS] (Published 2010-03-01, updated 2016-04-18)
A 2-dimensional Complex Kleinian Group With Infinite Lines in the Limit Set Lying in General Position
arXiv:1003.0708 [math.DS] (Published 2010-03-02, updated 2016-04-18)
On the number of lines in the limit set for discrete subgroups of $PSL(3,\Bbb{C})$
arXiv:1301.5630 [math.DS] (Published 2013-01-23, updated 2014-09-15)
Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces (extended version)

Links

Toolbox