Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Short survey on the existence of slices for the space of Riemannian
  metrics   We review the well-known slice theorem of Ebin for the action of the
diffeomorphism group on the space of Riemannian metrics of a closed manifold.
We present advances in the study of the spaces of Riemannian metrics, and
produce a more concise proof for the existence of slices.

26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn