Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence and rigidity of quantum isometry groups for compact metric
  spaces   We prove the existence of a quantum isometry groups for new classes of metric
spaces: (i) geodesic metrics for compact connected Riemannian manifolds
(possibly with boundary) and (ii) metric spaces admitting a uniformly
distributed probability measure. In the former case it also follows from recent
results of the second author that the quantum isometry group is classical, i.e.
the commutative $C^*$-algebra of continuous functions on the Riemannian
isometry group.

17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph