A 2-dimensional Complex Kleinian Group With Infinite Lines in the Limit Set Lying in General Position

preprint2016arXivOpen access

Abstract

In this article we present an example of a discrete group $Σ_\C\subset PSL(3,\Bbb{R})$ whose action on 2¶^2 does no have invariant projective subspaces, is not conjugated to complex hyperbolic group and its limit set in the sense of Kulkarni on PC2\Bbb{P}^2_\Bbb{C} has infinite lines in general position.

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