Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reconstruction of Lorentzian manifolds from boundary light observation
  sets   On a time-oriented Lorentzian manifold $(M,g)$ with non-empty boundary
satisfying a convexity assumption, we show that the topological,
differentiable, and conformal structure of suitable subsets $S\subset M$ of
sources is uniquely determined by measurements of the intersection of future
light cones from points in $S$ with a fixed open subset of the boundary of $M$;
here, light rays are reflected at $\partial M$ according to Snell's law. Our
proof is constructive, and allows for interior conjugate points as well as
multiply reflected and self-intersecting light cones.

33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom