Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary and lens rigidity for non-convex manifolds   We study the boundary and lens rigidity problems on domains without assuming
the convexity of the boundary. We show that such rigidities hold when the
domain is a simply connected compact Riemannian surface without conjugate
points. For the more general class of non-trapping compact Riemannian surfaces
with no conjugate points, we show lens rigidity. We also prove the injectivity
of the X-ray transform on tensors in a variety of settings with non-convex
boundary and, in some situations, allowing a non-empty trapped set.

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The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
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The categories of this paper are: eess
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th