Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Intrinsic characterization for Lipschitz asymptotically hyperbolic
  metrics   Conformally compact asymptotically hyperbolic metrics have been intensively
studied. The goal of this note is to understand what intrinsic conditions on a
complete Riemannian manifold (M,g) will ensure that g is asymptotically
hyperbolic in this sense. We use the geodesic compactification by asymptotic
geodesic rays to compactify M and appropriate curvature decay conditions to
study the regularity of the conformal compactification. We also present an
interesting example that shows our conclusion is nearly optimal for our
assumptions.

11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio