Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the quasi-isometric rigidity of chambers and walls in
  cusp-decomposable manifolds   A cusp-decomposable manifold is a manifold constructed from a finite number
of complete, negatively curved, finite volume manifolds and identifying the
boundaries of truncated cusps by diffeomorphisms. Using properties of the
electric space of the universal cover of cusp-decomposable manifolds, we show
that the inclusion of walls and pieces induces quasi-isometric embeddings. We
also show that isomorphisms between fundamental groups of higher graph
manifolds preserve the decomposition into pieces.

9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat