Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Low regularity Poincar\'e-Einstein metrics   We prove the existence of a $C^{1,1}$ conformally compact Einstein metric on
the ball that has asymptotic sectional curvature decay to $-1$ plus terms of
order $e^{-2r}$ where $r$ is the distance from any fixed compact set. This
metric has no $C^2$ conformal compactification.

36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th