A 2-dimensional Complex Kleinian Group With Infinite Lines in the Limit Set Lying in General Position
Abstract
In this article we present an example of a discrete group $\Sigma_\C\subset PSL(3,\Bbb{R})$ whose action on $¶^2$ does no have invariant projective subspaces, is not conjugated to complex hyperbolic group and its limit set in the sense of Kulkarni on $\Bbb{P}^2_\Bbb{C}$ has infinite lines in general position.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2010
- DOI:
- 10.48550/arXiv.1003.0380
- arXiv:
- arXiv:1003.0380
- Bibcode:
- 2010arXiv1003.0380B
- Keywords:
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- Mathematics - Dynamical Systems;
- Mathematics - Complex Variables;
- 32Q45 (Primary);
- 37F45;
- 22E40 (Secondary);
- 57R30
- E-Print:
- This paper has been withdrawn by the author due to a crucial sign error