Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hilbert manifold structure for asymptotically hyperbolic relativistic
  initial data   We provide a Hilbert manifold structure {\`a} la Bartnik for the space of
asymptotically hyperbolic initial data for the vacuum constraint equations. The
adaptation led us to prove new weighted Poincar{\'e} and Korn type inequalities
for AH manifolds with inner boundary and weakly regular metric.

14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ