Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: All finitely generated Kleinian groups of small Hausdorff dimension are
  classical Schottky groups   This is the second part of the works on Hausdorff dimensions of Schottky
groups. It has been conjectured that the Hausdorff dimensions of nonclassical
Schottky groups are strictly bounded from below. In this second part of our
works we provide a resolution of this conjecture, we prove that there exists a
universal positive number $\lambda>0$, such that any finitely-generated
non-elementary Kleinian groups with limit set of Hausdorff dimension $<\lambda$
are classical Schottky groups. We will generalize our previous technologies
given in \cite{HS} to prove our general result. Our result can be consider as a
converse to \cite{Doyle}.

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The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
16
The categories of this paper are: stat
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con