{ "id": "1003.0380", "version": "v2", "published": "2010-03-01T15:49:18.000Z", "updated": "2016-04-18T20:37:33.000Z", "title": "A 2-dimensional Complex Kleinian Group With Infinite Lines in the Limit Set Lying in General Position", "authors": [ "Waldemar Barrera", "Angel Cano", "Juan Pablo Navarrete" ], "comment": "This paper has been withdrawn by the author due to a crucial sign error", "categories": [ "math.DS", "math.CV" ], "abstract": "In this article we present an example of a discrete group $\\Sigma_\\C\\subset PSL(3,\\Bbb{R})$ whose action on $\\P^2$ 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.", "revisions": [ { "version": "v1", "updated": "2010-03-01T15:49:18.000Z", "comment": null, "journal": null, "doi": null }, { "version": "v2", "updated": "2016-04-18T20:37:33.000Z" } ], "analyses": { "subjects": [ "32Q45", "37F45", "22E40", "57R30" ], "keywords": [ "complex kleinian group", "general position", "infinite lines", "limit set lying", "complex hyperbolic group" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1003.0380B" } } }