Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integral Ricci curvature bounds for possibly collapsed spaces with Ricci
  curvature bounded from below   Assuming a lower bound on the Ricci curvature of a complete Riemannian
manifold, for $p< 1/2$ we show the existence of bounds on the local $L^p$ norm
of the Ricci curvature that depend only on the dimension and which improve with
volume collapse.

9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an