Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Penrose inequality for asymptotically locally hyperbolic spaces with
  nonpositive mass   In the asymptotically locally hyperbolic setting it is possible to have
metrics with scalar curvature at least -6 and negative mass when the genus of
the conformal boundary at infinity is positive. Using inverse mean curvature
flow, we prove a Penrose inequality for these negative mass metrics. The
motivation comes from a previous result of P. Chru\'sciel and W. Simon, which
states that the Penrose inequality we prove implies a static uniqueness theorem
for negative mass Kottler metrics.

28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con