Geodesic
Kleinian groups of small Hausdorff dimension are classical Schottky groups. I
Hou, Yong1
1 Department of Mathematics, North Dakota State University, Fargo, ND 58108, USA
Geometry & topology, Tome 14 (2010) no. 1, pp. 473-519.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

It has been conjectured that the Hausdorff dimensions of nonclassical Schottky groups are strictly bounded from below. In this first part of our work on this conjecture, we prove that there exists a universal positive number λ greater than 0 such that any 2–generated nonelementary Kleinian group with limit set of Hausdorff dimension less than λ is a classical Schottky group.

DOI : 10.2140/gt.2010.14.473
Keywords: Schottky group, Kleinian group, Hausdorff dimension, limit set

Hou, Yong 1

1 Department of Mathematics, North Dakota State University, Fargo, ND 58108, USA 
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Hou, Yong. Kleinian groups of small Hausdorff dimension are classical Schottky groups. I. Geometry & topology, Tome 14 (2010) no. 1, pp. 473-519. doi : 10.2140/gt.2010.14.473. http://geodesic.mathdoc.fr/articles/10.2140/gt.2010.14.473/

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