Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Riemannian Anosov extension and applications   Let $\Sigma$ be a Riemannian manifold with strictly convex spherical
boundary. Assuming absence of conjugate points and that the trapped set is
hyperbolic, we show that $\Sigma$ can be isometrically embedded into a closed
Riemannian manifold with Anosov geodesic flow. We use this embedding to provide
a direct link between the classical Livshits theorem for Anosov flows and the
Livshits theorem for the X-ray transform which appears in the boundary rigidity
program. Also, we give an application for lens rigidity in a conformal class.

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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg